916868400 has 360 divisors, whose sum is σ = 3533773824. Its totient is φ = 202406400.

The previous prime is 916868377. The next prime is 916868411. The reversal of 916868400 is 4868619.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1822549 + ... + 1823051.

Almost surely, 2^916868400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 916868400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766886912).

916868400 is an abundant number, since it is smaller than the sum of its proper divisors (2616905424).

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

916868400 is a wasteful number, since it uses less digits than its factorization.

916868400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 916868400 is about 30279.8348740544. The cubic root of 916868400 is about 971.4840358017.

The spelling of 916868400 in words is "nine hundred sixteen million, eight hundred sixty-eight thousand, four hundred".