7466960 has 20 divisors (see below), whose sum is σ = 17360868. Its totient is φ = 2986752.

The previous prime is 7466959. The next prime is 7466969. The reversal of 7466960 is 696647.

7466960 = T₂₂₂ + T₂₂₃ + ... + T₃₈₁.

It can be written as a sum of positive squares in 2 ways, for example, as 2835856 + 4631104 = 1684^2 + 2152^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7466969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46589 + ... + 46748.

Almost surely, 2^7466960 is an apocalyptic number.

It is an amenable number.

7466960 is an abundant number, since it is smaller than the sum of its proper divisors (9893908).

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

7466960 is a wasteful number, since it uses less digits than its factorization.

7466960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93350 (or 93344 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 7466960 is about 2732.5738782328. The cubic root of 7466960 is about 195.4555206533.

The spelling of 7466960 in words is "seven million, four hundred sixty-six thousand, nine hundred sixty".