36563616 has 96 divisors (see below), whose sum is σ = 107956800. Its totient is φ = 12038400.

The previous prime is 36563609. The next prime is 36563621. The reversal of 36563616 is 61636563.

It is a happy number.

36563616 is a `hidden beast` number, since 3 + 6 + 5 + 636 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87055 + ... + 87473.

It is an arithmetic number, because the mean of its divisors is an integer number (1124550).

Almost surely, 2^36563616 is an apocalyptic number.

36563616 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 36563616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53978400).

36563616 is an abundant number, since it is smaller than the sum of its proper divisors (71393184).

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

36563616 is a wasteful number, since it uses less digits than its factorization.

36563616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 525 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 36563616 is about 6046.7855923623. The cubic root of 36563616 is about 331.9069754374.

The spelling of 36563616 in words is "thirty-six million, five hundred sixty-three thousand, six hundred sixteen".