36164832 has 96 divisors (see below), whose sum is σ = 108138240. Its totient is φ = 10475520.

The previous prime is 36164819. The next prime is 36164837. The reversal of 36164832 is 23846163.

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 (33).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 36164793 and 36164802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36164837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23544 + ... + 25032.

It is an arithmetic number, because the mean of its divisors is an integer number (1126440).

Almost surely, 2^36164832 is an apocalyptic number.

36164832 is a gapful number since it is divisible by the number (32) 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 36164832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54069120).

36164832 is an abundant number, since it is smaller than the sum of its proper divisors (71973408).

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

36164832 is a wasteful number, since it uses less digits than its factorization.

36164832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1528 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 36164832 is about 6013.7203127515. The cubic root of 36164832 is about 330.6959051785.

It can be divided in two parts, 3616 and 4832, that added together give a palindrome (8448).

The spelling of 36164832 in words is "thirty-six million, one hundred sixty-four thousand, eight hundred thirty-two".