42900960 has 96 divisors (see below), whose sum is σ = 136321920. Its totient is φ = 11340288.

The previous prime is 42900959. The next prime is 42901007. The reversal of 42900960 is 6900924.

42900960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66399 + ... + 67041.

It is an arithmetic number, because the mean of its divisors is an integer number (1420020).

Almost surely, 2^42900960 is an apocalyptic number.

42900960 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 42900960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68160960).

42900960 is an abundant number, since it is smaller than the sum of its proper divisors (93420960).

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

42900960 is a wasteful number, since it uses less digits than its factorization.

42900960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 42900960 is about 6549.8824416931. The cubic root of 42900960 is about 350.0706252036.

The spelling of 42900960 in words is "forty-two million, nine hundred thousand, nine hundred sixty".