992960640 has 256 divisors, whose sum is σ = 4019616000. Its totient is φ = 226934784.

The previous prime is 992960621. The next prime is 992960693. The reversal of 992960640 is 46069299.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 116856 + ... + 125064.

It is an arithmetic number, because the mean of its divisors is an integer number (15701625).

Almost surely, 2^992960640 is an apocalyptic number.

992960640 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 992960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009808000).

992960640 is an abundant number, since it is smaller than the sum of its proper divisors (3026655360).

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

992960640 is a wasteful number, since it uses less digits than its factorization.

992960640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8244 (or 8226 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 992960640 is about 31511.2779810658. The cubic root of 992960640 is about 997.6480191898.

The spelling of 992960640 in words is "nine hundred ninety-two million, nine hundred sixty thousand, six hundred forty".