42573690 has 96 divisors (see below), whose sum is σ = 117127296. Its totient is φ = 10707840.

The previous prime is 42573683. The next prime is 42573691. The reversal of 42573690 is 9637524.

It is a super-2 number, since 2×42573690² = 3625038160432200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) 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 (42573691) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271092 + ... + 271248.

It is an arithmetic number, because the mean of its divisors is an integer number (1220076).

Almost surely, 2^42573690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42573690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58563648).

42573690 is an abundant number, since it is smaller than the sum of its proper divisors (74553606).

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

42573690 is a wasteful number, since it uses less digits than its factorization.

42573690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 42573690 is about 6524.8517224532. The cubic root of 42573690 is about 349.1781806767.

The spelling of 42573690 in words is "forty-two million, five hundred seventy-three thousand, six hundred ninety".