920575152 has 240 divisors, whose sum is σ = 3104548320. Its totient is φ = 260402688.

The previous prime is 920575147. The next prime is 920575153. The reversal of 920575152 is 251575029.

920575152 is a `hidden beast` number, since 92 + 0 + 57 + 515 + 2 = 666.

It is a super-2 number, since 2×920575152² = 1694917220959646208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (920575153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3323238 + ... + 3323514.

It is an arithmetic number, because the mean of its divisors is an integer number (12935618).

Almost surely, 2^920575152 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 920575152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552274160).

920575152 is an abundant number, since it is smaller than the sum of its proper divisors (2183973168).

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

920575152 is a wasteful number, since it uses less digits than its factorization.

920575152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 920575152 is about 30340.9813948066. The cubic root of 920575152 is about 972.7914602331.

The spelling of 920575152 in words is "nine hundred twenty million, five hundred seventy-five thousand, one hundred fifty-two".