536590656 has 392 divisors, whose sum is σ = 1918923264. Its totient is φ = 145566720.

The previous prime is 536590643. The next prime is 536590693. The reversal of 536590656 is 656095635.

536590656 is a `hidden beast` number, since 5 + 3 + 6 + 590 + 6 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10124326 + ... + 10124378.

Almost surely, 2^536590656 is an apocalyptic number.

536590656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536590656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959461632).

536590656 is an abundant number, since it is smaller than the sum of its proper divisors (1382332608).

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

536590656 is an equidigital number, since it uses as much as digits as its factorization.

536590656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The square root of 536590656 is about 23164.4265199897. The cubic root of 536590656 is about 812.6078908719.

The spelling of 536590656 in words is "five hundred thirty-six million, five hundred ninety thousand, six hundred fifty-six".