42573960 has 192 divisors, whose sum is σ = 162751680. Its totient is φ = 9515520.

The previous prime is 42573959. The next prime is 42573961. The reversal of 42573960 is 6937524.

It is an interprime number because it is at equal distance from previous prime (42573959) and next prime (42573961).

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

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (42573961) 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, 51067 + ... + 51893.

It is an arithmetic number, because the mean of its divisors is an integer number (847665).

Almost surely, 2^42573960 is an apocalyptic number.

42573960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42573960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81375840).

42573960 is an abundant number, since it is smaller than the sum of its proper divisors (120177720).

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

42573960 is a wasteful number, since it uses less digits than its factorization.

42573960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 861 counting only the distinct ones).

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

The square root of 42573960 is about 6524.8724125457. The cubic root of 42573960 is about 349.1789188314.

The spelling of 42573960 in words is "forty-two million, five hundred seventy-three thousand, nine hundred sixty".