536323680 has 240 divisors, whose sum is σ = 1959415920. Its totient is φ = 137991168.

The previous prime is 536323679. The next prime is 536323681. The reversal of 536323680 is 86323635.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (536323679) and next prime (536323681).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536323681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 375127 + ... + 376553.

It is an arithmetic number, because the mean of its divisors is an integer number (8164233).

Almost surely, 2^536323680 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 536323680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979707960).

536323680 is an abundant number, since it is smaller than the sum of its proper divisors (1423092240).

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

536323680 is a wasteful number, since it uses less digits than its factorization.

536323680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 536323680 is about 23158.6631738535. The cubic root of 536323680 is about 812.4730998589.

The spelling of 536323680 in words is "five hundred thirty-six million, three hundred twenty-three thousand, six hundred eighty".