36552480 has 96 divisors (see below), whose sum is σ = 115976448. Its totient is φ = 9676800.

The previous prime is 36552479. The next prime is 36552491. The reversal of 36552480 is 8425563.

36552480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129940 + ... + 130220.

It is an arithmetic number, because the mean of its divisors is an integer number (1208088).

Almost surely, 2^36552480 is an apocalyptic number.

36552480 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 36552480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57988224).

36552480 is an abundant number, since it is smaller than the sum of its proper divisors (79423968).

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

36552480 is a wasteful number, since it uses less digits than its factorization.

36552480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 36552480 is about 6045.8647024226. The cubic root of 36552480 is about 331.8732762598.

The spelling of 36552480 in words is "thirty-six million, five hundred fifty-two thousand, four hundred eighty".