42090720 has 96 divisors (see below), whose sum is σ = 151538688. Its totient is φ = 9619968.

The previous prime is 42090707. The next prime is 42090731. The reversal of 42090720 is 2709024.

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 (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2904 + ... + 9623.

It is an arithmetic number, because the mean of its divisors is an integer number (1578528).

Almost surely, 2^42090720 is an apocalyptic number.

42090720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42090720 is an abundant number, since it is smaller than the sum of its proper divisors (109447968).

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

42090720 is a wasteful number, since it uses less digits than its factorization.

42090720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12552 (or 12544 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 42090720 is about 6487.7361228706. The cubic root of 42090720 is about 347.8527584258.

Adding to 42090720 its reverse (2709024), we get a palindrome (44799744).

The spelling of 42090720 in words is "forty-two million, ninety thousand, seven hundred twenty".