7456960 has 56 divisors (see below), whose sum is σ = 20299680. Its totient is φ = 2555904.

The previous prime is 7456921. The next prime is 7456963. The reversal of 7456960 is 696547.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (7456963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 576 + ... + 3904.

Almost surely, 2^7456960 is an apocalyptic number.

7456960 is a gapful number since it is divisible by the number (70) 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 7456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10149840).

7456960 is an abundant number, since it is smaller than the sum of its proper divisors (12842720).

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

7456960 is a wasteful number, since it uses less digits than its factorization.

7456960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353 (or 3343 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 7456960 is about 2730.7434885027. The cubic root of 7456960 is about 195.3682281723.

The spelling of 7456960 in words is "seven million, four hundred fifty-six thousand, nine hundred sixty".