36368640 has 432 divisors, whose sum is σ = 160707456. Its totient is φ = 7372800.

The previous prime is 36368623. The next prime is 36368659. The reversal of 36368640 is 4686363.

36368640 is a `hidden beast` number, since 3 + 6 + 3 + 6 + 8 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 36368595 and 36368604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 887020 + ... + 887060.

It is an arithmetic number, because the mean of its divisors is an integer number (372008).

Almost surely, 2^36368640 is an apocalyptic number.

36368640 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 36368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80353728).

36368640 is an abundant number, since it is smaller than the sum of its proper divisors (124338816).

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

36368640 is a wasteful number, since it uses less digits than its factorization.

36368640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 36368640 is about 6030.6417568945. The cubic root of 36368640 is about 331.3159574367.

The spelling of 36368640 in words is "thirty-six million, three hundred sixty-eight thousand, six hundred forty".