36516096 has 108 divisors (see below), whose sum is σ = 109370352. Its totient is φ = 12151296.

The previous prime is 36516089. The next prime is 36516097. The reversal of 36516096 is 69061563.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a self number, because there is not a number n which added to its sum of digits gives 36516096.

It is not an unprimeable number, because it can be changed into a prime (36516097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61915 + ... + 62501.

Almost surely, 2^36516096 is an apocalyptic number.

36516096 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 36516096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54685176).

36516096 is an abundant number, since it is smaller than the sum of its proper divisors (72854256).

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

36516096 is an frugal number, since it uses more digits than its factorization.

36516096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 36516096 is about 6042.8549544069. The cubic root of 36516096 is about 331.7631251755.

It can be divided in two parts, 365 and 16096, that added together give a palindrome (16461).

The spelling of 36516096 in words is "thirty-six million, five hundred sixteen thousand, ninety-six".