10704960 has 280 divisors, whose sum is σ = 44256960. Its totient is φ = 2405376.

The previous prime is 10704949. The next prime is 10704997. The reversal of 10704960 is 6940701.

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-2 number, since 2×10704960² = 229192337203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 181411 + ... + 181469.

Almost surely, 2^10704960 is an apocalyptic number.

10704960 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 10704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22128480).

10704960 is an abundant number, since it is smaller than the sum of its proper divisors (33552000).

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

10704960 is an equidigital number, since it uses as much as digits as its factorization.

10704960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10704960 is about 3271.8435170405. The cubic root of 10704960 is about 220.3915890787.

It can be divided in two parts, 10704 and 960, that added together give a square (11664 = 108²).

The spelling of 10704960 in words is "ten million, seven hundred four thousand, nine hundred sixty".