960042564 has 384 divisors, whose sum is σ = 3132864000. Its totient is φ = 250822656.

The previous prime is 960042557. The next prime is 960042571. The reversal of 960042564 is 465240069.

960042564 is a `hidden beast` number, since 9 + 600 + 42 + 5 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (960042557) and next prime (960042571).

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 (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13151232 + ... + 13151304.

It is an arithmetic number, because the mean of its divisors is an integer number (8158500).

Almost surely, 2^960042564 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 960042564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566432000).

960042564 is an abundant number, since it is smaller than the sum of its proper divisors (2172821436).

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

960042564 is a wasteful number, since it uses less digits than its factorization.

960042564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 960042564 is about 30984.5536356424. The cubic root of 960042564 is about 986.4994089404.

The spelling of 960042564 in words is "nine hundred sixty million, forty-two thousand, five hundred sixty-four".