36156096 has 84 divisors (see below), whose sum is σ = 106231944. Its totient is φ = 11750400.

The previous prime is 36156089. The next prime is 36156101. The reversal of 36156096 is 69065163.

36156096 is a `hidden beast` number, since 3 + 6 + 1 + 560 + 96 = 666.

It is a super-2 number, since 2×36156096² = 2614526555922432, which contains 22 as substring.

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 36156096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22851 + ... + 24381.

It is an arithmetic number, because the mean of its divisors is an integer number (1264666).

Almost surely, 2^36156096 is an apocalyptic number.

36156096 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 36156096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53115972).

36156096 is an abundant number, since it is smaller than the sum of its proper divisors (70075848).

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

36156096 is a wasteful number, since it uses less digits than its factorization.

36156096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1577 counting only the distinct ones).

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

The square root of 36156096 is about 6012.9939298157. The cubic root of 36156096 is about 330.6692753292.

The spelling of 36156096 in words is "thirty-six million, one hundred fifty-six thousand, ninety-six".