962616960 has 320 divisors, whose sum is σ = 3554496000. Its totient is φ = 248002560.

The previous prime is 962616943. The next prime is 962616971. The reversal of 962616960 is 69616269.

962616960 is a `hidden beast` number, since 9 + 626 + 16 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×962616960³ (a number of 28 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1606741 + ... + 1607339.

It is an arithmetic number, because the mean of its divisors is an integer number (11107800).

Almost surely, 2^962616960 is an apocalyptic number.

962616960 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 962616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777248000).

962616960 is an abundant number, since it is smaller than the sum of its proper divisors (2591879040).

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

962616960 is a wasteful number, since it uses less digits than its factorization.

962616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 962616960 is about 31026.0690387938. The cubic root of 962616960 is about 987.3804023295.

The spelling of 962616960 in words is "nine hundred sixty-two million, six hundred sixteen thousand, nine hundred sixty".