36504600 has 96 divisors (see below), whose sum is σ = 123474240. Its totient is φ = 8848000.

The previous prime is 36504581. The next prime is 36504619. The reversal of 36504600 is 640563.

It is an interprime number because it is at equal distance from previous prime (36504581) and next prime (36504619).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3835 + ... + 9365.

It is an arithmetic number, because the mean of its divisors is an integer number (1286190).

Almost surely, 2^36504600 is an apocalyptic number.

36504600 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 36504600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61737120).

36504600 is an abundant number, since it is smaller than the sum of its proper divisors (86969640).

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

36504600 is a wasteful number, since it uses less digits than its factorization.

36504600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5561 (or 5552 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 36504600 is about 6041.9036735122. The cubic root of 36504600 is about 331.7283062910.

It can be divided in two parts, 36504 and 600, that multiplied together give a square (21902400 = 4680²).

The spelling of 36504600 in words is "thirty-six million, five hundred four thousand, six hundred".