36630880 has 96 divisors (see below), whose sum is σ = 101733408. Its totient is φ = 12288000.

The previous prime is 36630877. The next prime is 36630899. The reversal of 36630880 is 8803663.

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, 22080 + ... + 23680.

It is an arithmetic number, because the mean of its divisors is an integer number (1059723).

Almost surely, 2^36630880 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 36630880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50866704).

36630880 is an abundant number, since it is smaller than the sum of its proper divisors (65102528).

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

36630880 is a wasteful number, since it uses less digits than its factorization.

36630880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 36630880 is about 6052.3450000805. The cubic root of 36630880 is about 332.1103808712.

The spelling of 36630880 in words is "thirty-six million, six hundred thirty thousand, eight hundred eighty".