36815616 has 162 divisors, whose sum is σ = 115721060. Its totient is φ = 11225088.

The previous prime is 36815593. The next prime is 36815627. The reversal of 36815616 is 61651863.

It is a happy number.

36815616 is a `hidden beast` number, since 36 + 8 + 1 + 5 + 616 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1269490 + ... + 1269518.

Almost surely, 2^36815616 is an apocalyptic number.

36815616 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 36815616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57860530).

36815616 is an abundant number, since it is smaller than the sum of its proper divisors (78905444).

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

36815616 is a wasteful number, since it uses less digits than its factorization.

36815616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 53 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 36815616 is about 6067.5873294086. The cubic root of 36815616 is about 332.6677420716.

The spelling of 36815616 in words is "thirty-six million, eight hundred fifteen thousand, six hundred sixteen".