642920960 has 240 divisors, whose sum is σ = 1808991360. Its totient is φ = 217251840.

The previous prime is 642920951. The next prime is 642920969. The reversal of 642920960 is 69029246.

It is an interprime number because it is at equal distance from previous prime (642920951) and next prime (642920969).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642920969) 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, 8138201 + ... + 8138279.

It is an arithmetic number, because the mean of its divisors is an integer number (7537464).

Almost surely, 2^642920960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904495680).

642920960 is an abundant number, since it is smaller than the sum of its proper divisors (1166070400).

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

642920960 is a wasteful number, since it uses less digits than its factorization.

642920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 642920960 is about 25355.8861016530. The cubic root of 642920960 is about 863.0829318411.

The spelling of 642920960 in words is "six hundred forty-two million, nine hundred twenty thousand, nine hundred sixty".