536624880 has 320 divisors, whose sum is σ = 1919877120. Its totient is φ = 122803200.

The previous prime is 536624861. The next prime is 536624951. The reversal of 536624880 is 88426635.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6465319 + ... + 6465401.

It is an arithmetic number, because the mean of its divisors is an integer number (5999616).

Almost surely, 2^536624880 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 536624880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959938560).

536624880 is an abundant number, since it is smaller than the sum of its proper divisors (1383252240).

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

536624880 is a wasteful number, since it uses less digits than its factorization.

536624880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 536624880 is about 23165.1652271250. The cubic root of 536624880 is about 812.6251666735.

The spelling of 536624880 in words is "five hundred thirty-six million, six hundred twenty-four thousand, eight hundred eighty".