36546480 has 120 divisors (see below), whose sum is σ = 123840288. Its totient is φ = 9658368.

The previous prime is 36546473. The next prime is 36546493. The reversal of 36546480 is 8464563.

36546480 is a `hidden beast` number, since 3 + 6 + 5 + 4 + 648 + 0 = 666.

36546480 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 138829 + ... + 139091.

Almost surely, 2^36546480 is an apocalyptic number.

36546480 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 36546480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61920144).

36546480 is an abundant number, since it is smaller than the sum of its proper divisors (87293808).

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

36546480 is a wasteful number, since it uses less digits than its factorization.

36546480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 36546480 is about 6045.3684751221. The cubic root of 36546480 is about 331.8551165378.

The spelling of 36546480 in words is "thirty-six million, five hundred forty-six thousand, four hundred eighty".