916838900 has 72 divisors (see below), whose sum is σ = 2113614720. Its totient is φ = 344010240.

The previous prime is 916838893. The next prime is 916838941. The reversal of 916838900 is 9838619.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 643589 + ... + 645011.

It is an arithmetic number, because the mean of its divisors is an integer number (29355760).

Almost surely, 2^916838900 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 916838900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056807360).

916838900 is an abundant number, since it is smaller than the sum of its proper divisors (1196775820).

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

916838900 is a wasteful number, since it uses less digits than its factorization.

916838900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 44.

The square root of 916838900 is about 30279.3477472683. The cubic root of 916838900 is about 971.4736166087.

The spelling of 916838900 in words is "nine hundred sixteen million, eight hundred thirty-eight thousand, nine hundred".