42896160 has 72 divisors (see below), whose sum is σ = 146388060. Its totient is φ = 11438592.

The previous prime is 42896149. The next prime is 42896171. The reversal of 42896160 is 6169824.

It is an interprime number because it is at equal distance from previous prime (42896149) and next prime (42896171).

It can be written as a sum of positive squares in 2 ways, for example, as 37307664 + 5588496 = 6108^2 + 2364^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13455 + ... + 16334.

Almost surely, 2^42896160 is an apocalyptic number.

42896160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42896160 is an abundant number, since it is smaller than the sum of its proper divisors (103491900).

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

42896160 is a wasteful number, since it uses less digits than its factorization.

42896160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29810 (or 29799 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 42896160 is about 6549.5160126531. The cubic root of 42896160 is about 350.0575687617.

The spelling of 42896160 in words is "forty-two million, eight hundred ninety-six thousand, one hundred sixty".