916882560 has 384 divisors, whose sum is σ = 3580200000. Its totient is φ = 214179840.

The previous prime is 916882541. The next prime is 916882583. The reversal of 916882560 is 65288619.

916882560 is a `hidden beast` number, since 9 + 1 + 6 + 8 + 82 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1837191 + ... + 1837689.

Almost surely, 2^916882560 is an apocalyptic number.

916882560 is a gapful number since it is divisible by the number (90) 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 916882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790100000).

916882560 is an abundant number, since it is smaller than the sum of its proper divisors (2663317440).

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

916882560 is a wasteful number, since it uses less digits than its factorization.

916882560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 916882560 is about 30280.0686921282. The cubic root of 916882560 is about 971.4890369349.

The spelling of 916882560 in words is "nine hundred sixteen million, eight hundred eighty-two thousand, five hundred sixty".