36427664 has 80 divisors (see below), whose sum is σ = 87994368. Its totient is φ = 14224896.

The previous prime is 36427661. The next prime is 36427667. The reversal of 36427664 is 46672463.

36427664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36427661) and next prime (36427667).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36427661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184814 + ... + 185010.

Almost surely, 2^36427664 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 36427664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43997184).

36427664 is an abundant number, since it is smaller than the sum of its proper divisors (51566704).

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

36427664 is a wasteful number, since it uses less digits than its factorization.

36427664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 346 counting only the distinct ones).

The product of its digits is 145152, while the sum is 38.

The square root of 36427664 is about 6035.5334478404. The cubic root of 36427664 is about 331.4950955021.

The spelling of 36427664 in words is "thirty-six million, four hundred twenty-seven thousand, six hundred sixty-four".