36640512 has 216 divisors, whose sum is σ = 119042560. Its totient is φ = 11197440.

The previous prime is 36640507. The next prime is 36640517. The reversal of 36640512 is 21504663.

36640512 is a `hidden beast` number, since 3 + 6 + 640 + 5 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (36640507) and next prime (36640517).

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36640517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1181937 + ... + 1181967.

Almost surely, 2^36640512 is an apocalyptic number.

36640512 is a gapful number since it is divisible by the number (32) 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 36640512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59521280).

36640512 is an abundant number, since it is smaller than the sum of its proper divisors (82402048).

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

36640512 is an equidigital number, since it uses as much as digits as its factorization.

36640512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 55 counting only the distinct ones).

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

The square root of 36640512 is about 6053.1406724113. The cubic root of 36640512 is about 332.1394875234.

The spelling of 36640512 in words is "thirty-six million, six hundred forty thousand, five hundred twelve".