42919920 has 60 divisors (see below), whose sum is σ = 144141816. Its totient is φ = 11445120.

The previous prime is 42919901. The next prime is 42919927. The reversal of 42919920 is 2991924.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42919927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29086 + ... + 30525.

Almost surely, 2^42919920 is an apocalyptic number.

42919920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42919920 is an abundant number, since it is smaller than the sum of its proper divisors (101221896).

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

42919920 is a wasteful number, since it uses less digits than its factorization.

42919920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59630 (or 59621 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 42919920 is about 6551.3296360357. The cubic root of 42919920 is about 350.1221886302.

The spelling of 42919920 in words is "forty-two million, nine hundred nineteen thousand, nine hundred twenty".