42620864 has 56 divisors (see below), whose sum is σ = 99383088. Its totient is φ = 17879040.

The previous prime is 42620843. The next prime is 42620873. The reversal of 42620864 is 46802624.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 42620864.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 6824 + ... + 11480.

It is an arithmetic number, because the mean of its divisors is an integer number (1774698).

Almost surely, 2^42620864 is an apocalyptic number.

42620864 is a gapful number since it is divisible by the number (44) 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 42620864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49691544).

42620864 is an abundant number, since it is smaller than the sum of its proper divisors (56762224).

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

42620864 is a wasteful number, since it uses less digits than its factorization.

42620864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4693 (or 4683 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 42620864 is about 6528.4656696654. The cubic root of 42620864 is about 349.3071026410.

The spelling of 42620864 in words is "forty-two million, six hundred twenty thousand, eight hundred sixty-four".