960937920 has 336 divisors, whose sum is σ = 3687409440. Its totient is φ = 228261888.

The previous prime is 960937883. The next prime is 960937921. The reversal of 960937920 is 29739069.

960937920 is a `hidden beast` number, since 9 + 609 + 37 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (960937921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 929724 + ... + 930756.

Almost surely, 2^960937920 is an apocalyptic number.

960937920 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 960937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843704720).

960937920 is an abundant number, since it is smaller than the sum of its proper divisors (2726471520).

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

960937920 is a wasteful number, since it uses less digits than its factorization.

960937920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 960937920 is about 30998.9986935062. The cubic root of 960937920 is about 986.8059903898.

The spelling of 960937920 in words is "nine hundred sixty million, nine hundred thirty-seven thousand, nine hundred twenty".