6612480 has 240 divisors, whose sum is σ = 26810784. Its totient is φ = 1474560.

The previous prime is 6612479. The next prime is 6612481. The reversal of 6612480 is 842166.

6612480 is a `hidden beast` number, since 6 + 612 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6612479) and next prime (6612481).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6612481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161260 + ... + 161300.

Almost surely, 2^6612480 is an apocalyptic number.

6612480 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 6612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13405392).

6612480 is an abundant number, since it is smaller than the sum of its proper divisors (20198304).

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

6612480 is a wasteful number, since it uses less digits than its factorization.

6612480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6612480 is about 2571.4742853079. The cubic root of 6612480 is about 187.6959019151.

The spelling of 6612480 in words is "six million, six hundred twelve thousand, four hundred eighty".