42576888 has 64 divisors (see below), whose sum is σ = 111283200. Its totient is φ = 13559040.

The previous prime is 42576883. The next prime is 42576893. The reversal of 42576888 is 88867524.

It is an interprime number because it is at equal distance from previous prime (42576883) and next prime (42576893).

Its product of digits (860160) is a multiple of the sum of its prime divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42576881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65895 + ... + 66537.

It is an arithmetic number, because the mean of its divisors is an integer number (1738800).

Almost surely, 2^42576888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42576888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55641600).

42576888 is an abundant number, since it is smaller than the sum of its proper divisors (68706312).

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

42576888 is a wasteful number, since it uses less digits than its factorization.

42576888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 768 counting only the distinct ones).

The product of its digits is 860160, while the sum is 48.

The square root of 42576888 is about 6525.0967808915. The cubic root of 42576888 is about 349.1869235088.

The spelling of 42576888 in words is "forty-two million, five hundred seventy-six thousand, eight hundred eighty-eight".