42597920 has 48 divisors (see below), whose sum is σ = 106564248. Its totient is φ = 16035840.

The previous prime is 42597917. The next prime is 42597923. The reversal of 42597920 is 2979524.

It is an interprime number because it is at equal distance from previous prime (42597917) and next prime (42597923).

It can be written as a sum of positive squares in 4 ways, for example, as 42562576 + 35344 = 6524^2 + 188^2 .

It is not an unprimeable number, because it can be changed into a prime (42597923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5111 + ... + 10550.

Almost surely, 2^42597920 is an apocalyptic number.

42597920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42597920 is an abundant number, since it is smaller than the sum of its proper divisors (63966328).

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

42597920 is a wasteful number, since it uses less digits than its factorization.

42597920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15693 (or 15685 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 42597920 is about 6526.7082055198. The cubic root of 42597920 is about 349.2444108043.

The spelling of 42597920 in words is "forty-two million, five hundred ninety-seven thousand, nine hundred twenty".