996632640 has 336 divisors, whose sum is σ = 3689786880. Its totient is φ = 252979200.

The previous prime is 996632597. The next prime is 996632657. The reversal of 996632640 is 46236699.

996632640 is a `hidden beast` number, since 9 + 9 + 6 + 632 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×996632640² = 1986553238226739200, which contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16338210 + ... + 16338270.

Almost surely, 2^996632640 is an apocalyptic number.

996632640 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 996632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844893440).

996632640 is an abundant number, since it is smaller than the sum of its proper divisors (2693154240).

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

996632640 is a wasteful number, since it uses less digits than its factorization.

996632640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 996632640 is about 31569.4890677692. The cubic root of 996632640 is about 998.8762844029.

The spelling of 996632640 in words is "nine hundred ninety-six million, six hundred thirty-two thousand, six hundred forty".