36458064 has 120 divisors (see below), whose sum is σ = 110463912. Its totient is φ = 11182080.

The previous prime is 36458039. The next prime is 36458083. The reversal of 36458064 is 46085463.

36458064 is a `hidden beast` number, since 3 + 645 + 8 + 0 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16744464 + 19713600 = 4092^2 + 4440^2 .

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 23 ways as a sum of consecutive naturals, for example, 129604 + ... + 129884.

Almost surely, 2^36458064 is an apocalyptic number.

36458064 is a gapful number since it is divisible by the number (34) 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 36458064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55231956).

36458064 is an abundant number, since it is smaller than the sum of its proper divisors (74005848).

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

36458064 is a wasteful number, since it uses less digits than its factorization.

36458064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 356 counting only the distinct ones).

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

The square root of 36458064 is about 6038.0513412855. The cubic root of 36458064 is about 331.5872841282.

The spelling of 36458064 in words is "thirty-six million, four hundred fifty-eight thousand, sixty-four".