36107856 has 120 divisors (see below), whose sum is σ = 108055584. Its totient is φ = 11664000.

The previous prime is 36107837. The next prime is 36107867. The reversal of 36107856 is 65870163.

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 36107856.

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, 143731 + ... + 143981.

Almost surely, 2^36107856 is an apocalyptic number.

36107856 is a gapful number since it is divisible by the number (36) 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 36107856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54027792).

36107856 is an abundant number, since it is smaller than the sum of its proper divisors (71947728).

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

36107856 is a wasteful number, since it uses less digits than its factorization.

36107856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 36107856 is about 6008.9812780537. The cubic root of 36107856 is about 330.5221485916.

It can be divided in two parts, 36107 and 856, that added together give a palindrome (36963).

The spelling of 36107856 in words is "thirty-six million, one hundred seven thousand, eight hundred fifty-six".