920005632 has 264 divisors, whose sum is σ = 3272514336. Its totient is φ = 242417664.

The previous prime is 920005621. The next prime is 920005637. The reversal of 920005632 is 236500029.

920005632 is a `hidden beast` number, since 9 + 20 + 0 + 0 + 5 + 632 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 920005596 and 920005605.

It is not an unprimeable number, because it can be changed into a prime (920005637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 838108 + ... + 839204.

Almost surely, 2^920005632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920005632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636257168).

920005632 is an abundant number, since it is smaller than the sum of its proper divisors (2352508704).

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

920005632 is a wasteful number, since it uses less digits than its factorization.

920005632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 920005632 is about 30331.5946168348. The cubic root of 920005632 is about 972.5908108598.

The spelling of 920005632 in words is "nine hundred twenty million, five thousand, six hundred thirty-two".