531619920 has 360 divisors, whose sum is σ = 2054942136. Its totient is φ = 122683392.

The previous prime is 531619919. The next prime is 531619969. The reversal of 531619920 is 29916135.

531619920 is a `hidden beast` number, since 5 + 31 + 619 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 71774784 + 459845136 = 8472^2 + 21444^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2068432 + ... + 2068688.

Almost surely, 2^531619920 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 531619920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027471068).

531619920 is an abundant number, since it is smaller than the sum of its proper divisors (1523322216).

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

531619920 is a wasteful number, since it uses less digits than its factorization.

531619920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 531619920 is about 23056.8844382757. The cubic root of 531619920 is about 810.0908905781.

The spelling of 531619920 in words is "five hundred thirty-one million, six hundred nineteen thousand, nine hundred twenty".