214748640 has 288 divisors, whose sum is σ = 792529920. Its totient is φ = 52780032.

The previous prime is 214748603. The next prime is 214748647. The reversal of 214748640 is 46847412.

214748640 is a `hidden beast` number, since 2 + 1 + 4 + 7 + 4 + 8 + 640 = 666.

214748640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×214748640² = 92233956763699200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 214748595 and 214748604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214748647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1285837 + ... + 1286003.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 2^214748640 is an apocalyptic number.

214748640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214748640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396264960).

214748640 is an abundant number, since it is smaller than the sum of its proper divisors (577781280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214748640 is a wasteful number, since it uses less digits than its factorization.

214748640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 214748640 is about 14654.3044870782. The cubic root of 214748640 is about 598.8390885898.

The spelling of 214748640 in words is "two hundred fourteen million, seven hundred forty-eight thousand, six hundred forty".