42937920 has 168 divisors, whose sum is σ = 156554424. Its totient is φ = 10764288.

The previous prime is 42937913. The next prime is 42937963. The reversal of 42937920 is 2973924.

It can be written as a sum of positive squares in 4 ways, for example, as 16064064 + 26873856 = 4008^2 + 5184^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48522 + ... + 49398.

Almost surely, 2^42937920 is an apocalyptic number.

42937920 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 42937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78277212).

42937920 is an abundant number, since it is smaller than the sum of its proper divisors (113616504).

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

42937920 is a wasteful number, since it uses less digits than its factorization.

42937920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 42937920 is about 6552.7032589611. The cubic root of 42937920 is about 350.1711272007.

The spelling of 42937920 in words is "forty-two million, nine hundred thirty-seven thousand, nine hundred twenty".