42770960 has 20 divisors (see below), whose sum is σ = 99442668. Its totient is φ = 17108352.

The previous prime is 42770953. The next prime is 42770983. The reversal of 42770960 is 6907724.

It can be written as a sum of positive squares in 2 ways, for example, as 11723776 + 31047184 = 3424^2 + 5572^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 42770960.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 267239 + ... + 267398.

Almost surely, 2^42770960 is an apocalyptic number.

42770960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42770960 is an abundant number, since it is smaller than the sum of its proper divisors (56671708).

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

42770960 is a wasteful number, since it uses less digits than its factorization.

42770960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534650 (or 534644 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 42770960 is about 6539.9510701534. The cubic root of 42770960 is about 349.7166686592.

The spelling of 42770960 in words is "forty-two million, seven hundred seventy thousand, nine hundred sixty".