42007896 has 160 divisors (see below), whose sum is σ = 137809200. Its totient is φ = 12002256.

The previous prime is 42007873. The next prime is 42007907. The reversal of 42007896 is 69870024.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42007896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6001125 + ... + 6001131.

Almost surely, 2^42007896 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 42007896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68904600).

42007896 is an abundant number, since it is smaller than the sum of its proper divisors (95801304).

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

42007896 is an frugal number, since it uses more digits than its factorization.

42007896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 42007896 is about 6481.3498594043. The cubic root of 42007896 is about 347.6244462240.

Multiplying 42007896 by its product of nonzero digits (24192), we get a 5-th power (1016255020032 = 252⁵).

The spelling of 42007896 in words is "forty-two million, seven thousand, eight hundred ninety-six".