42962640 has 160 divisors (see below), whose sum is σ = 154275840. Its totient is φ = 9687552.

The previous prime is 42962627. The next prime is 42962651. The reversal of 42962640 is 4626924.

It is a happy number.

42962640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 179641 + ... + 179879.

It is an arithmetic number, because the mean of its divisors is an integer number (964224).

Almost surely, 2^42962640 is an apocalyptic number.

42962640 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 42962640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77137920).

42962640 is an abundant number, since it is smaller than the sum of its proper divisors (111313200).

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

42962640 is a wasteful number, since it uses less digits than its factorization.

42962640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 42962640 is about 6554.5892319809. The cubic root of 42962640 is about 350.2383138865.

The spelling of 42962640 in words is "forty-two million, nine hundred sixty-two thousand, six hundred forty".