42988968 has 160 divisors (see below), whose sum is σ = 135732960. Its totient is φ = 12597120.

The previous prime is 42988961. The next prime is 42988969. The reversal of 42988968 is 86988924.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1990656) is a multiple of the sum of its prime divisors (216).

It is not an unprimeable number, because it can be changed into a prime (42988961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 263655 + ... + 263817.

It is an arithmetic number, because the mean of its divisors is an integer number (848331).

Almost surely, 2^42988968 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 42988968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67866480).

42988968 is an abundant number, since it is smaller than the sum of its proper divisors (92743992).

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

42988968 is a wasteful number, since it uses less digits than its factorization.

42988968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 216 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 42988968 is about 6556.5972882281. The cubic root of 42988968 is about 350.3098426331.

It can be divided in two parts, 42988 and 968, that added together give a triangular number (43956 = T₂₉₆).

The spelling of 42988968 in words is "forty-two million, nine hundred eighty-eight thousand, nine hundred sixty-eight".