36633096 has 72 divisors (see below), whose sum is σ = 105661530. Its totient is φ = 11426304.

The previous prime is 36633067. The next prime is 36633101. The reversal of 36633096 is 69033663.

It can be written as a sum of positive squares in 3 ways, for example, as 34644996 + 1988100 = 5886^2 + 1410^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 36633096.

It is a congruent number.

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, 211666 + ... + 211838.

Almost surely, 2^36633096 is an apocalyptic number.

36633096 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 36633096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52830765).

36633096 is an abundant number, since it is smaller than the sum of its proper divisors (69028434).

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

36633096 is a wasteful number, since it uses less digits than its factorization.

36633096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 36.

The square root of 36633096 is about 6052.5280668494. The cubic root of 36633096 is about 332.1170777871.

The spelling of 36633096 in words is "thirty-six million, six hundred thirty-three thousand, ninety-six".