920236032 has 208 divisors, whose sum is σ = 2795424480. Its totient is φ = 299040768.

The previous prime is 920236013. The next prime is 920236099. The reversal of 920236032 is 230632029.

It is a super-2 number, since 2×920236032² = 1693668709182210048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 920235987 and 920236005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5861298 + ... + 5861454.

Almost surely, 2^920236032 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 920236032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397712240).

920236032 is an abundant number, since it is smaller than the sum of its proper divisors (1875188448).

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

920236032 is a wasteful number, since it uses less digits than its factorization.

920236032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 920236032 is about 30335.3923989785. The cubic root of 920236032 is about 972.6719937756.

The spelling of 920236032 in words is "nine hundred twenty million, two hundred thirty-six thousand, thirty-two".