36557120 has 56 divisors (see below), whose sum is σ = 90854784. Its totient is φ = 13984256.

The previous prime is 36557111. The next prime is 36557141. The reversal of 36557120 is 2175563.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4877 + ... + 9843.

Almost surely, 2^36557120 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 36557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45427392).

36557120 is an abundant number, since it is smaller than the sum of its proper divisors (54297664).

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

36557120 is a wasteful number, since it uses less digits than its factorization.

36557120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5007 (or 4997 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 36557120 is about 6046.2484236095. The cubic root of 36557120 is about 331.8873184155.

The spelling of 36557120 in words is "thirty-six million, five hundred fifty-seven thousand, one hundred twenty".