36252960 has 48 divisors (see below), whose sum is σ = 114198336. Its totient is φ = 9667328.

The previous prime is 36252947. The next prime is 36252961. The reversal of 36252960 is 6925263.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (36252961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37284 + ... + 38243.

It is an arithmetic number, because the mean of its divisors is an integer number (2379132).

Almost surely, 2^36252960 is an apocalyptic number.

36252960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36252960 is an abundant number, since it is smaller than the sum of its proper divisors (77945376).

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

36252960 is a wasteful number, since it uses less digits than its factorization.

36252960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75545 (or 75537 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 36252960 is about 6021.0430989987. The cubic root of 36252960 is about 330.9643052268.

The spelling of 36252960 in words is "thirty-six million, two hundred fifty-two thousand, nine hundred sixty".