36484560 has 320 divisors, whose sum is σ = 152371200. Its totient is φ = 7838208.

The previous prime is 36484537. The next prime is 36484577. The reversal of 36484560 is 6548463.

36484560 is a `hidden beast` number, since 3 + 648 + 4 + 5 + 6 + 0 = 666.

It is a super-2 number, since 2×36484560² = 2662246236787200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 287217 + ... + 287343.

It is an arithmetic number, because the mean of its divisors is an integer number (476160).

Almost surely, 2^36484560 is an apocalyptic number.

36484560 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 36484560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76185600).

36484560 is an abundant number, since it is smaller than the sum of its proper divisors (115886640).

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

36484560 is a wasteful number, since it uses less digits than its factorization.

36484560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 163 counting only the distinct ones).

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

The square root of 36484560 is about 6040.2450281425. The cubic root of 36484560 is about 331.6675920055.

The spelling of 36484560 in words is "thirty-six million, four hundred eighty-four thousand, five hundred sixty".