36145664 has 40 divisors (see below), whose sum is σ = 72772128. Its totient is φ = 17935360.

The previous prime is 36145661. The next prime is 36145667. The reversal of 36145664 is 46654163.

It is an interprime number because it is at equal distance from previous prime (36145661) and next prime (36145667).

Its product of digits (51840) is a multiple of the sum of its prime divisors (540).

It is not an unprimeable number, because it can be changed into a prime (36145661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 116069 + ... + 116379.

Almost surely, 2^36145664 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 36145664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36386064).

36145664 is an abundant number, since it is smaller than the sum of its proper divisors (36626464).

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

36145664 is an equidigital number, since it uses as much as digits as its factorization.

36145664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 540 counting only the distinct ones).

The product of its digits is 51840, while the sum is 35.

The square root of 36145664 is about 6012.1264125100. The cubic root of 36145664 is about 330.6374699623.

The spelling of 36145664 in words is "thirty-six million, one hundred forty-five thousand, six hundred sixty-four".