36314640 has 120 divisors (see below), whose sum is σ = 125968128. Its totient is φ = 9365760.

The previous prime is 36314633. The next prime is 36314659. The reversal of 36314640 is 4641363.

36314640 is a `hidden beast` number, since 3 + 6 + 3 + 14 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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, 21507 + ... + 23133.

Almost surely, 2^36314640 is an apocalyptic number.

36314640 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 36314640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62984064).

36314640 is an abundant number, since it is smaller than the sum of its proper divisors (89653488).

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

36314640 is a wasteful number, since it uses less digits than its factorization.

36314640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 36314640 is about 6026.1629583011. The cubic root of 36314640 is about 331.1518973759.

The spelling of 36314640 in words is "thirty-six million, three hundred fourteen thousand, six hundred forty".