64167936 has 112 divisors (see below), whose sum is σ = 196071744. Its totient is φ = 18284544.

The previous prime is 64167931. The next prime is 64167989. The reversal of 64167936 is 63976146.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (64167931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171846 + ... + 172218.

Almost surely, 2^64167936 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 64167936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98035872).

64167936 is an abundant number, since it is smaller than the sum of its proper divisors (131903808).

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

64167936 is an equidigital number, since it uses as much as digits as its factorization.

64167936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 385 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 64167936 is about 8010.4891236428. The cubic root of 64167936 is about 400.3495610953.

The spelling of 64167936 in words is "sixty-four million, one hundred sixty-seven thousand, nine hundred thirty-six".