992515680 has 480 divisors, whose sum is σ = 3888095904. Its totient is φ = 236888064.

The previous prime is 992515679. The next prime is 992515687. The reversal of 992515680 is 86515299.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992515687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7244572 + ... + 7244708.

Almost surely, 2^992515680 is an apocalyptic number.

992515680 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 992515680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944047952).

992515680 is an abundant number, since it is smaller than the sum of its proper divisors (2895580224).

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

992515680 is a wasteful number, since it uses less digits than its factorization.

992515680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 992515680 is about 31504.2168606045. The cubic root of 992515680 is about 997.4989767642.

The spelling of 992515680 in words is "nine hundred ninety-two million, five hundred fifteen thousand, six hundred eighty".