961626960 has 360 divisors, whose sum is σ = 3808959336. Its totient is φ = 216760320.

The previous prime is 961626889. The next prime is 961626977. The reversal of 961626960 is 69626169.

961626960 is a `hidden beast` number, since 9 + 616 + 26 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 136328976 + 825297984 = 11676^2 + 28728^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 3422020 + ... + 3422300.

Almost surely, 2^961626960 is an apocalyptic number.

961626960 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 961626960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904479668).

961626960 is an abundant number, since it is smaller than the sum of its proper divisors (2847332376).

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

961626960 is a wasteful number, since it uses less digits than its factorization.

961626960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 395 counting only the distinct ones).

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

The square root of 961626960 is about 31010.1106092835. The cubic root of 961626960 is about 987.0417969323.

The spelling of 961626960 in words is "nine hundred sixty-one million, six hundred twenty-six thousand, nine hundred sixty".