66090624 has 64 divisors (see below), whose sum is σ = 177276000. Its totient is φ = 21814272.

The previous prime is 66090587. The next prime is 66090643. The reversal of 66090624 is 42609066.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41067 + ... + 42645.

Almost surely, 2^66090624 is an apocalyptic number.

66090624 is a gapful number since it is divisible by the number (64) 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 66090624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88638000).

66090624 is an abundant number, since it is smaller than the sum of its proper divisors (111185376).

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

66090624 is a wasteful number, since it uses less digits than its factorization.

66090624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 66090624 is about 8129.6140129775. The cubic root of 66090624 is about 404.3088837993.

It can be divided in two parts, 6609062 and 4, that added together give a palindrome (6609066).

The spelling of 66090624 in words is "sixty-six million, ninety thousand, six hundred twenty-four".