214634640 has 240 divisors, whose sum is σ = 771825600. Its totient is φ = 49167360.

The previous prime is 214634599. The next prime is 214634653. The reversal of 214634640 is 46436412.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 214634598 and 214634607.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 551566 + ... + 551954.

It is an arithmetic number, because the mean of its divisors is an integer number (3215940).

Almost surely, 2^214634640 is an apocalyptic number.

214634640 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 214634640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385912800).

214634640 is an abundant number, since it is smaller than the sum of its proper divisors (557190960).

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

214634640 is a wasteful number, since it uses less digits than its factorization.

214634640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 214634640 is about 14650.4143286120. The cubic root of 214634640 is about 598.7331046207.

The spelling of 214634640 in words is "two hundred fourteen million, six hundred thirty-four thousand, six hundred forty".