36648480 has 144 divisors (see below), whose sum is σ = 127092672. Its totient is φ = 8870400.

The previous prime is 36648467. The next prime is 36648497. The reversal of 36648480 is 8484663.

It is a super-2 number, since 2×36648480² = 2686222172620800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57765 + ... + 58395.

It is an arithmetic number, because the mean of its divisors is an integer number (882588).

Almost surely, 2^36648480 is an apocalyptic number.

36648480 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 36648480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63546336).

36648480 is an abundant number, since it is smaller than the sum of its proper divisors (90444192).

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

36648480 is a wasteful number, since it uses less digits than its factorization.

36648480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 36648480 is about 6053.7988073605. The cubic root of 36648480 is about 332.1635619288.

It can be divided in two parts, 36648 and 480, that added together give a triangular number (37128 = T₂₇₂).

The spelling of 36648480 in words is "thirty-six million, six hundred forty-eight thousand, four hundred eighty".