1932632640 has 168 divisors, whose sum is σ = 6669789048. Its totient is φ = 513638400.

The previous prime is 1932632627. The next prime is 1932632657. The reversal of 1932632640 is 462362391.

1932632640 is a `hidden beast` number, since 1 + 9 + 3 + 2 + 6 + 3 + 2 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1557504 + 1931075136 = 1248^2 + 43944^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1932632595 and 1932632604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1015690 + ... + 1017590.

Almost surely, 2^1932632640 is an apocalyptic number.

1932632640 is a gapful number since it is divisible by the number (10) 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 1932632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3334894524).

1932632640 is an abundant number, since it is smaller than the sum of its proper divisors (4737156408).

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

1932632640 is a wasteful number, since it uses less digits than its factorization.

1932632640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2277 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 1932632640 is about 43961.7178918204. The cubic root of 1932632640 is about 1245.6129173510.

The spelling of 1932632640 in words is "one billion, nine hundred thirty-two million, six hundred thirty-two thousand, six hundred forty".