216968904 has 96 divisors (see below), whose sum is σ = 622440000. Its totient is φ = 68086656.

The previous prime is 216968903. The next prime is 216968911. The reversal of 216968904 is 409869612.

It is a happy number.

It is a super-2 number, since 2×216968904² = 94151010605922432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 216968904.

It is not an unprimeable number, because it can be changed into a prime (216968903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271834 + ... + 272630.

It is an arithmetic number, because the mean of its divisors is an integer number (6483750).

Almost surely, 2^216968904 is an apocalyptic number.

216968904 is a gapful number since it is divisible by the number (24) 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 216968904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311220000).

216968904 is an abundant number, since it is smaller than the sum of its proper divisors (405471096).

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

216968904 is a wasteful number, since it uses less digits than its factorization.

216968904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 216968904 is about 14729.8643578276. The cubic root of 216968904 is about 600.8957952525.

The spelling of 216968904 in words is "two hundred sixteen million, nine hundred sixty-eight thousand, nine hundred four".