36523008 has 88 divisors (see below), whose sum is σ = 108245360. Its totient is φ = 12165120.

The previous prime is 36522971. The next prime is 36523009. The reversal of 36523008 is 80032563.

36523008 is a `hidden beast` number, since 3 + 652 + 3 + 0 + 0 + 8 = 666.

It is a super-2 number, since 2×36523008² = 2667860226736128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (36523009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26988 + ... + 28308.

Almost surely, 2^36523008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36523008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54122680).

36523008 is an abundant number, since it is smaller than the sum of its proper divisors (71722352).

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

36523008 is a wasteful number, since it uses less digits than its factorization.

36523008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 36523008 is about 6043.4268424463. The cubic root of 36523008 is about 331.7840566031.

The spelling of 36523008 in words is "thirty-six million, five hundred twenty-three thousand, eight".