532920960 has 384 divisors, whose sum is σ = 2165304960. Its totient is φ = 119070720.

The previous prime is 532920943. The next prime is 532920961. The reversal of 532920960 is 69029235.

It is a tau number, because it is divible by the number of its divisors (384).

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 (532920961) 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, 823357 + ... + 824003.

It is an arithmetic number, because the mean of its divisors is an integer number (5638815).

Almost surely, 2^532920960 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 532920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082652480).

532920960 is an abundant number, since it is smaller than the sum of its proper divisors (1632384000).

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

532920960 is a wasteful number, since it uses less digits than its factorization.

532920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 532920960 is about 23085.0808965444. The cubic root of 532920960 is about 810.7512006915.

The spelling of 532920960 in words is "five hundred thirty-two million, nine hundred twenty thousand, nine hundred sixty".