42696640 has 112 divisors (see below), whose sum is σ = 118872000. Its totient is φ = 14601216.

The previous prime is 42696637. The next prime is 42696649. The reversal of 42696640 is 4669624.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 42696640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42696649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109566 + ... + 109954.

Almost surely, 2^42696640 is an apocalyptic number.

42696640 is a gapful number since it is divisible by the number (40) 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 42696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59436000).

42696640 is an abundant number, since it is smaller than the sum of its proper divisors (76175360).

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

42696640 is an equidigital number, since it uses as much as digits as its factorization.

42696640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 42696640 is about 6534.2666000095. The cubic root of 42696640 is about 349.5139921114.

The spelling of 42696640 in words is "forty-two million, six hundred ninety-six thousand, six hundred forty".