960037560 has 96 divisors (see below), whose sum is σ = 3125304000. Its totient is φ = 255585024.

The previous prime is 960037537. The next prime is 960037609. The reversal of 960037560 is 65730069.

It is a happy number.

960037560 is a `hidden beast` number, since 9 + 60 + 0 + 37 + 560 = 666.

It is a super-2 number, since 2×960037560² = 1843344233221507200, which contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 256986 + ... + 260694.

It is an arithmetic number, because the mean of its divisors is an integer number (32555250).

Almost surely, 2^960037560 is an apocalyptic number.

960037560 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 960037560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562652000).

960037560 is an abundant number, since it is smaller than the sum of its proper divisors (2165266440).

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

960037560 is a wasteful number, since it uses less digits than its factorization.

960037560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4445 (or 4438 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 960037560 is about 30984.4728856245. The cubic root of 960037560 is about 986.4976949707.

The spelling of 960037560 in words is "nine hundred sixty million, thirty-seven thousand, five hundred sixty".