536060880 has 120 divisors (see below), whose sum is σ = 1807899912. Its totient is φ = 142344192.

The previous prime is 536060869. The next prime is 536060891. The reversal of 536060880 is 88060635.

It is an interprime number because it is at equal distance from previous prime (536060869) and next prime (536060891).

It can be written as a sum of positive squares in 4 ways, for example, as 93547584 + 442513296 = 9672^2 + 21036^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×536060880² = 574722534132748800, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 183592 + ... + 186488.

Almost surely, 2^536060880 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 536060880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903949956).

536060880 is an abundant number, since it is smaller than the sum of its proper divisors (1271839032).

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

536060880 is a wasteful number, since it uses less digits than its factorization.

536060880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3173 (or 3164 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 536060880 is about 23152.9885759917. The cubic root of 536060880 is about 812.3403735328.

The spelling of 536060880 in words is "five hundred thirty-six million, sixty thousand, eight hundred eighty".