916082000 has 80 divisors (see below), whose sum is σ = 2237094912. Its totient is φ = 362793600.

The previous prime is 916081987. The next prime is 916082053. The reversal of 916082000 is 280619.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203777 + ... + 208223.

Almost surely, 2^916082000 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 916082000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118547456).

916082000 is an abundant number, since it is smaller than the sum of its proper divisors (1321012912).

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

916082000 is a wasteful number, since it uses less digits than its factorization.

916082000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4573 (or 4557 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 916082000 is about 30266.8465486578. The cubic root of 916082000 is about 971.2062083727.

The spelling of 916082000 in words is "nine hundred sixteen million, eighty-two thousand".