42961320 has 64 divisors (see below), whose sum is σ = 143208000. Its totient is φ = 11456064.

The previous prime is 42961297. The next prime is 42961333. The reversal of 42961320 is 2316924.

42961320 is a `hidden beast` number, since 4 + 29 + 613 + 20 = 666.

It is a super-2 number, since 2×42961320² = 3691350032284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18810 + ... + 20969.

It is an arithmetic number, because the mean of its divisors is an integer number (2237625).

Almost surely, 2^42961320 is an apocalyptic number.

42961320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42961320 is an abundant number, since it is smaller than the sum of its proper divisors (100246680).

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

42961320 is a wasteful number, since it uses less digits than its factorization.

42961320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39799 (or 39789 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 42961320 is about 6554.4885383987. The cubic root of 42961320 is about 350.2347268994.

The spelling of 42961320 in words is "forty-two million, nine hundred sixty-one thousand, three hundred twenty".