42906960 has 120 divisors (see below), whose sum is σ = 150418944. Its totient is φ = 10940160.

The previous prime is 42906949. The next prime is 42906971. The reversal of 42906960 is 6960924.

It is an interprime number because it is at equal distance from previous prime (42906949) and next prime (42906971).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15265 + ... + 17855.

Almost surely, 2^42906960 is an apocalyptic number.

42906960 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 42906960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75209472).

42906960 is an abundant number, since it is smaller than the sum of its proper divisors (107511984).

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

42906960 is a wasteful number, since it uses less digits than its factorization.

42906960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2633 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 42906960 is about 6550.3404491675. The cubic root of 42906960 is about 350.0869443865.

The spelling of 42906960 in words is "forty-two million, nine hundred six thousand, nine hundred sixty".