960742080 has 448 divisors, whose sum is σ = 3721973760. Its totient is φ = 232243200.

The previous prime is 960742067. The next prime is 960742093. The reversal of 960742080 is 80247069.

960742080 is a `hidden beast` number, since 9 + 607 + 42 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (960742067) and next prime (960742093).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4553175 + ... + 4553385.

Almost surely, 2^960742080 is an apocalyptic number.

960742080 is a gapful number since it is divisible by the number (90) 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 960742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860986880).

960742080 is an abundant number, since it is smaller than the sum of its proper divisors (2761231680).

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

960742080 is a wasteful number, since it uses less digits than its factorization.

960742080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 960742080 is about 30995.8397208400. The cubic root of 960742080 is about 986.7389485233.

The spelling of 960742080 in words is "nine hundred sixty million, seven hundred forty-two thousand, eighty".