216757040 has 40 divisors (see below), whose sum is σ = 510354240. Its totient is φ = 85602816.

The previous prime is 216757039. The next prime is 216757081. The reversal of 216757040 is 40757612.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×216757040² = 93967228779123200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 216756988 and 216757006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10829 + ... + 23468.

It is an arithmetic number, because the mean of its divisors is an integer number (12758856).

Almost surely, 2^216757040 is an apocalyptic number.

216757040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216757040 is an abundant number, since it is smaller than the sum of its proper divisors (293597200).

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

216757040 is a wasteful number, since it uses less digits than its factorization.

216757040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34389 (or 34383 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 216757040 is about 14722.6709533291. The cubic root of 216757040 is about 600.7001456386.

The spelling of 216757040 in words is "two hundred sixteen million, seven hundred fifty-seven thousand, forty".