214823640 has 64 divisors (see below), whose sum is σ = 645465600. Its totient is φ = 57197952.

The previous prime is 214823629. The next prime is 214823647. The reversal of 214823640 is 46328412.

It is a super-3 number, since 3×214823640³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 214823598 and 214823607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214823647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123819 + ... + 125541.

It is an arithmetic number, because the mean of its divisors is an integer number (10085400).

Almost surely, 2^214823640 is an apocalyptic number.

214823640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214823640 is an abundant number, since it is smaller than the sum of its proper divisors (430641960).

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

214823640 is a wasteful number, since it uses less digits than its factorization.

214823640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2776 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 214823640 is about 14656.8632387697. The cubic root of 214823640 is about 598.9087944315.

The spelling of 214823640 in words is "two hundred fourteen million, eight hundred twenty-three thousand, six hundred forty".