42660768 has 72 divisors (see below), whose sum is σ = 117700128. Its totient is φ = 13504128.

The previous prime is 42660749. The next prime is 42660781. The reversal of 42660768 is 86706624.

It is a super-2 number, since 2×42660768² = 3639882252699648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 306843 + ... + 306981.

It is an arithmetic number, because the mean of its divisors is an integer number (1634724).

Almost surely, 2^42660768 is an apocalyptic number.

42660768 is a gapful number since it is divisible by the number (48) 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 42660768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58850064).

42660768 is an abundant number, since it is smaller than the sum of its proper divisors (75039360).

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

42660768 is a wasteful number, since it uses less digits than its factorization.

42660768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 42660768 is about 6531.5211092057. The cubic root of 42660768 is about 349.4160821525.

The spelling of 42660768 in words is "forty-two million, six hundred sixty thousand, seven hundred sixty-eight".