42805920 has 96 divisors (see below), whose sum is σ = 135753408. Its totient is φ = 11337728.

The previous prime is 42805907. The next prime is 42805963. The reversal of 42805920 is 2950824.

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, 123187 + ... + 123533.

It is an arithmetic number, because the mean of its divisors is an integer number (1414098).

Almost surely, 2^42805920 is an apocalyptic number.

42805920 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 42805920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67876704).

42805920 is an abundant number, since it is smaller than the sum of its proper divisors (92947488).

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

42805920 is a wasteful number, since it uses less digits than its factorization.

42805920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 42805920 is about 6542.6233270761. The cubic root of 42805920 is about 349.8119261668.

The spelling of 42805920 in words is "forty-two million, eight hundred five thousand, nine hundred twenty".