36313680 has 160 divisors (see below), whose sum is σ = 123492096. Its totient is φ = 8773632.

The previous prime is 36313633. The next prime is 36313699. The reversal of 36313680 is 8631363.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321304 + ... + 321416.

Almost surely, 2^36313680 is an apocalyptic number.

36313680 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 36313680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61746048).

36313680 is an abundant number, since it is smaller than the sum of its proper divisors (87178416).

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

36313680 is a wasteful number, since it uses less digits than its factorization.

36313680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 36313680 is about 6026.0833050996. The cubic root of 36313680 is about 331.1489792817.

The spelling of 36313680 in words is "thirty-six million, three hundred thirteen thousand, six hundred eighty".