960892416 has 320 divisors, whose sum is σ = 3181939200. Its totient is φ = 283852800.

The previous prime is 960892403. The next prime is 960892423. The reversal of 960892416 is 614298069.

It is a happy number.

960892416 is a `hidden beast` number, since 9 + 608 + 9 + 24 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10796500 + ... + 10796588.

It is an arithmetic number, because the mean of its divisors is an integer number (9943560).

Almost surely, 2^960892416 is an apocalyptic number.

960892416 is a gapful number since it is divisible by the number (96) 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 960892416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590969600).

960892416 is an abundant number, since it is smaller than the sum of its proper divisors (2221046784).

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

960892416 is a wasteful number, since it uses less digits than its factorization.

960892416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 960892416 is about 30998.2647256262. The cubic root of 960892416 is about 986.7904138273.

The spelling of 960892416 in words is "nine hundred sixty million, eight hundred ninety-two thousand, four hundred sixteen".