36424064 has 64 divisors (see below), whose sum is σ = 80967600. Its totient is φ = 16220160.

The previous prime is 36424061. The next prime is 36424079. The reversal of 36424064 is 46042463.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36424061) 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, 40904 + ... + 41784.

Almost surely, 2^36424064 is an apocalyptic number.

36424064 is a gapful number since it is divisible by the number (34) 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 36424064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40483800).

36424064 is an abundant number, since it is smaller than the sum of its proper divisors (44543536).

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

36424064 is a wasteful number, since it uses less digits than its factorization.

36424064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

The square root of 36424064 is about 6035.2352066842. The cubic root of 36424064 is about 331.4841750319.

The spelling of 36424064 in words is "thirty-six million, four hundred twenty-four thousand, sixty-four".