536095680 has 224 divisors, whose sum is σ = 1824996096. Its totient is φ = 132857856.

The previous prime is 536095667. The next prime is 536095709. The reversal of 536095680 is 86590635.

It is a super-2 number, since 2×536095680² = 574797156229324800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1746087 + ... + 1746393.

It is an arithmetic number, because the mean of its divisors is an integer number (8147304).

Almost surely, 2^536095680 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 536095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912498048).

536095680 is an abundant number, since it is smaller than the sum of its proper divisors (1288900416).

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

536095680 is a wasteful number, since it uses less digits than its factorization.

536095680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 536095680 is about 23153.7400866469. The cubic root of 536095680 is about 812.3579516565.

The spelling of 536095680 in words is "five hundred thirty-six million, ninety-five thousand, six hundred eighty".