536915880 has 192 divisors, whose sum is σ = 1810233360. Its totient is φ = 137908224.

The previous prime is 536915849. The next prime is 536915891. The reversal of 536915880 is 88519635.

536915880 is a `hidden beast` number, since 5 + 3 + 69 + 1 + 588 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 391327524 + 145588356 = 19782^2 + 12066^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2304244 + ... + 2304476.

Almost surely, 2^536915880 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 536915880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905116680).

536915880 is an abundant number, since it is smaller than the sum of its proper divisors (1273317480).

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

536915880 is a wasteful number, since it uses less digits than its factorization.

536915880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 536915880 is about 23171.4453584579. The cubic root of 536915880 is about 812.7720297805.

The spelling of 536915880 in words is "five hundred thirty-six million, nine hundred fifteen thousand, eight hundred eighty".