42166560 has 96 divisors (see below), whose sum is σ = 134229312. Its totient is φ = 11125760.

The previous prime is 42166549. The next prime is 42166627. The reversal of 42166560 is 6566124.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50950 + ... + 51770.

It is an arithmetic number, because the mean of its divisors is an integer number (1398222).

Almost surely, 2^42166560 is an apocalyptic number.

42166560 is a gapful number since it is divisible by the number (40) 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 42166560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67114656).

42166560 is an abundant number, since it is smaller than the sum of its proper divisors (92062752).

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

42166560 is a wasteful number, since it uses less digits than its factorization.

42166560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 42166560 is about 6493.5783663555. The cubic root of 42166560 is about 348.0615560287.

The spelling of 42166560 in words is "forty-two million, one hundred sixty-six thousand, five hundred sixty".