36656480 has 96 divisors (see below), whose sum is σ = 103348224. Its totient is φ = 12013056.

The previous prime is 36656479. The next prime is 36656507. The reversal of 36656480 is 8465663.

It is a super-3 number, since 3×36656480³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25049 + ... + 26471.

It is an arithmetic number, because the mean of its divisors is an integer number (1076544).

Almost surely, 2^36656480 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 36656480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51674112).

36656480 is an abundant number, since it is smaller than the sum of its proper divisors (66691744).

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

36656480 is a wasteful number, since it uses less digits than its factorization.

36656480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The square root of 36656480 is about 6054.4595134496. The cubic root of 36656480 is about 332.1877295084.

The spelling of 36656480 in words is "thirty-six million, six hundred fifty-six thousand, four hundred eighty".