42617664 has 70 divisors (see below), whose sum is σ = 126347474. Its totient is φ = 14204160.

The previous prime is 42617651. The next prime is 42617669. The reversal of 42617664 is 46671624.

42617664 is a `hidden beast` number, since 426 + 176 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41990400 + 627264 = 6480^2 + 792^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42617669) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1074 + ... + 9294.

Almost surely, 2^42617664 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 42617664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63173737).

42617664 is an abundant number, since it is smaller than the sum of its proper divisors (83729810).

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

42617664 is an equidigital number, since it uses as much as digits as its factorization.

42617664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8245 (or 8226 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 42617664 is about 6528.2205845085. The cubic root of 42617664 is about 349.2983603601.

The spelling of 42617664 in words is "forty-two million, six hundred seventeen thousand, six hundred sixty-four".