1016616960 has 192 divisors, whose sum is σ = 3614738400. Its totient is φ = 271024128.

The previous prime is 1016616947. The next prime is 1016616961. The reversal of 1016616960 is 696166101.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016616961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274642 + ... + 278318.

Almost surely, 2^1016616960 is an apocalyptic number.

1016616960 is a gapful number since it is divisible by the number (10) 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 1016616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807369200).

1016616960 is an abundant number, since it is smaller than the sum of its proper divisors (2598121440).

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

1016616960 is an equidigital number, since it uses as much as digits as its factorization.

1016616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3713 (or 3687 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1016616960 is about 31884.4313105942. The cubic root of 1016616960 is about 1005.5085864238.

The spelling of 1016616960 in words is "one billion, sixteen million, six hundred sixteen thousand, nine hundred sixty".