13098960 has 240 divisors, whose sum is σ = 52925184. Its totient is φ = 2838528.

The previous prime is 13098941. The next prime is 13098973. The reversal of 13098960 is 6989031.

13098960 = T₃₂₂ + T₃₂₃ + ... + T₄₈₁.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115864 + ... + 115976.

Almost surely, 2^13098960 is an apocalyptic number.

13098960 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 13098960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26462592).

13098960 is an abundant number, since it is smaller than the sum of its proper divisors (39826224).

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

13098960 is a wasteful number, since it uses less digits than its factorization.

13098960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 153 counting only the distinct ones).

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

The square root of 13098960 is about 3619.2485407885. The cubic root of 13098960 is about 235.7285973207.

The spelling of 13098960 in words is "thirteen million, ninety-eight thousand, nine hundred sixty".