42764960 has 48 divisors (see below), whose sum is σ = 115468416. Its totient is φ = 14661888.

The previous prime is 42764947. The next prime is 42764977. The reversal of 42764960 is 6946724.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17972 + ... + 20211.

It is an arithmetic number, because the mean of its divisors is an integer number (2405592).

Almost surely, 2^42764960 is an apocalyptic number.

42764960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42764960 is an abundant number, since it is smaller than the sum of its proper divisors (72703456).

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

42764960 is a wasteful number, since it uses less digits than its factorization.

42764960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38205 (or 38197 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 42764960 is about 6539.4923350364. The cubic root of 42764960 is about 349.7003148985.

The spelling of 42764960 in words is "forty-two million, seven hundred sixty-four thousand, nine hundred sixty".