916145600 has 84 divisors (see below), whose sum is σ = 2277916704. Its totient is φ = 362618880.

The previous prime is 916145599. The next prime is 916145603. The reversal of 916145600 is 6541619.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (916145603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152249 + ... + 158151.

It is an arithmetic number, because the mean of its divisors is an integer number (27118056).

Almost surely, 2^916145600 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 916145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138958352).

916145600 is an abundant number, since it is smaller than the sum of its proper divisors (1361771104).

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

916145600 is a wasteful number, since it uses less digits than its factorization.

916145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6022 (or 6007 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 916145600 is about 30267.8971849714. The cubic root of 916145600 is about 971.2286835388.

The spelling of 916145600 in words is "nine hundred sixteen million, one hundred forty-five thousand, six hundred".