991614960 has 420 divisors, whose sum is σ = 4032619128. Its totient is φ = 226001664.

The previous prime is 991614931. The next prime is 991614961. The reversal of 991614960 is 69416199.

It is a tau number, because it is divible by the number of its divisors (420).

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 (991614961) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2857507 + ... + 2857853.

Almost surely, 2^991614960 is an apocalyptic number.

991614960 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 991614960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016309564).

991614960 is an abundant number, since it is smaller than the sum of its proper divisors (3041004168).

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

991614960 is a wasteful number, since it uses less digits than its factorization.

991614960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 991614960 is about 31489.9183866837. The cubic root of 991614960 is about 997.1971379709.

The spelling of 991614960 in words is "nine hundred ninety-one million, six hundred fourteen thousand, nine hundred sixty".