36561460 has 72 divisors (see below), whose sum is σ = 86236920. Its totient is φ = 12999168.

The previous prime is 36561451. The next prime is 36561487. The reversal of 36561460 is 6416563.

It can be written as a sum of positive squares in 12 ways, for example, as 19554084 + 17007376 = 4422^2 + 4124^2 .

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, 97834 + ... + 98206.

It is an arithmetic number, because the mean of its divisors is an integer number (1197735).

Almost surely, 2^36561460 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 36561460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43118460).

36561460 is an abundant number, since it is smaller than the sum of its proper divisors (49675460).

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

36561460 is a wasteful number, since it uses less digits than its factorization.

36561460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 36561460 is about 6046.6073131964. The cubic root of 36561460 is about 331.9004515978.

The spelling of 36561460 in words is "thirty-six million, five hundred sixty-one thousand, four hundred sixty".