42507696 has 240 divisors, whose sum is σ = 146562048. Its totient is φ = 10483200.

The previous prime is 42507691. The next prime is 42507697. The reversal of 42507696 is 69670524.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (42507691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 802006 + ... + 802058.

Almost surely, 2^42507696 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 42507696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73281024).

42507696 is an abundant number, since it is smaller than the sum of its proper divisors (104054352).

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

42507696 is a wasteful number, since it uses less digits than its factorization.

42507696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 42507696 is about 6519.7926347392. The cubic root of 42507696 is about 348.9976655755.

The spelling of 42507696 in words is "forty-two million, five hundred seven thousand, six hundred ninety-six".