36152964 has 72 divisors (see below), whose sum is σ = 97493760. Its totient is φ = 11269632.

The previous prime is 36152947. The next prime is 36152969. The reversal of 36152964 is 46925163.

It is a happy number.

36152964 is a `hidden beast` number, since 361 + 5 + 296 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (36152969) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 38452 + ... + 39380.

It is an arithmetic number, because the mean of its divisors is an integer number (1354080).

Almost surely, 2^36152964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36152964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48746880).

36152964 is an abundant number, since it is smaller than the sum of its proper divisors (61340796).

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

36152964 is a wasteful number, since it uses less digits than its factorization.

36152964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 1004 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 36152964 is about 6012.7334881899. The cubic root of 36152964 is about 330.6597270446.

The spelling of 36152964 in words is "thirty-six million, one hundred fifty-two thousand, nine hundred sixty-four".