42920640 has 168 divisors, whose sum is σ = 168798240. Its totient is φ = 9805824.

The previous prime is 42920623. The next prime is 42920641. The reversal of 42920640 is 4602924.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (42920641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19096 + ... + 21224.

Almost surely, 2^42920640 is an apocalyptic number.

42920640 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 42920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84399120).

42920640 is an abundant number, since it is smaller than the sum of its proper divisors (125877600).

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

42920640 is a wasteful number, since it uses less digits than its factorization.

42920640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 42920640 is about 6551.3845864825. The cubic root of 42920640 is about 350.1241464357.

The spelling of 42920640 in words is "forty-two million, nine hundred twenty thousand, six hundred forty".