7414960 has 40 divisors (see below), whose sum is σ = 19704096. Its totient is φ = 2542080.

The previous prime is 7414937. The next prime is 7414969. The reversal of 7414960 is 694147.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (7414969) 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, 6061 + ... + 7180.

Almost surely, 2^7414960 is an apocalyptic number.

7414960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7414960 is an abundant number, since it is smaller than the sum of its proper divisors (12289136).

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

7414960 is a wasteful number, since it uses less digits than its factorization.

7414960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13261 (or 13255 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 7414960 is about 2723.0424161221. The cubic root of 7414960 is about 195.0007451210. Note that the first 3 decimals are identical.

The spelling of 7414960 in words is "seven million, four hundred fourteen thousand, nine hundred sixty".