6612960 has 96 divisors (see below), whose sum is σ = 21772800. Its totient is φ = 1683968.

The previous prime is 6612959. The next prime is 6612961. The reversal of 6612960 is 692166.

6612960 = T₂₈₀ + T₂₈₁ + ... + T₃₉₄.

6612960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6612959) and next prime (6612961).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6612961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10741 + ... + 11339.

It is an arithmetic number, because the mean of its divisors is an integer number (226800).

Almost surely, 2^6612960 is an apocalyptic number.

6612960 is a gapful number since it is divisible by the number (60) 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 6612960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10886400).

6612960 is an abundant number, since it is smaller than the sum of its proper divisors (15159840).

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

6612960 is a wasteful number, since it uses less digits than its factorization.

6612960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 6612960 is about 2571.5676152884. The cubic root of 6612960 is about 187.7004434211.

The spelling of 6612960 in words is "six million, six hundred twelve thousand, nine hundred sixty".