36574560 has 144 divisors (see below), whose sum is σ = 136216080. Its totient is φ = 8862720.

The previous prime is 36574547. The next prime is 36574567. The reversal of 36574560 is 6547563.

36574560 is a `hidden beast` number, since 36 + 574 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (36574567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14686 + ... + 16994.

It is an arithmetic number, because the mean of its divisors is an integer number (945945).

Almost surely, 2^36574560 is an apocalyptic number.

36574560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36574560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68108040).

36574560 is an abundant number, since it is smaller than the sum of its proper divisors (99641520).

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

36574560 is a wasteful number, since it uses less digits than its factorization.

36574560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2341 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 36574560 is about 6047.6904682697. The cubic root of 36574560 is about 331.9400869290.

The spelling of 36574560 in words is "thirty-six million, five hundred seventy-four thousand, five hundred sixty".