42497664 has 64 divisors (see below), whose sum is σ = 123158880. Its totient is φ = 12876800.

The previous prime is 42497657. The next prime is 42497681. The reversal of 42497664 is 46679424.

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

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, 807 + ... + 9254.

Almost surely, 2^42497664 is an apocalyptic number.

42497664 is a gapful number since it is divisible by the number (44) 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 42497664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61579440).

42497664 is an abundant number, since it is smaller than the sum of its proper divisors (80661216).

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

42497664 is a wasteful number, since it uses less digits than its factorization.

42497664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10089 (or 10077 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 42497664 is about 6519.0232397193. The cubic root of 42497664 is about 348.9702084295.

The spelling of 42497664 in words is "forty-two million, four hundred ninety-seven thousand, six hundred sixty-four".