36315840 has 224 divisors, whose sum is σ = 133136640. Its totient is φ = 8294400.

The previous prime is 36315767. The next prime is 36315841. The reversal of 36315840 is 4851363.

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

It is a junction number, because it is equal to n+sod(n) for n = 36315798 and 36315807.

It is not an unprimeable number, because it can be changed into a prime (36315841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200550 + ... + 200730.

It is an arithmetic number, because the mean of its divisors is an integer number (594360).

Almost surely, 2^36315840 is an apocalyptic number.

36315840 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 36315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66568320).

36315840 is an abundant number, since it is smaller than the sum of its proper divisors (96820800).

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

36315840 is a wasteful number, since it uses less digits than its factorization.

36315840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 36315840 is about 6026.2625233224. The cubic root of 36315840 is about 331.1555449213.

The spelling of 36315840 in words is "thirty-six million, three hundred fifteen thousand, eight hundred forty".