7482960 has 120 divisors (see below), whose sum is σ = 26501280. Its totient is φ = 1886976.

The previous prime is 7482949. The next prime is 7482961. The reversal of 7482960 is 692847.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7482961) 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, 13407 + ... + 13953.

It is an arithmetic number, because the mean of its divisors is an integer number (220844).

Almost surely, 2^7482960 is an apocalyptic number.

It is a pronic number, being equal to 2735×2736.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7482960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13250640).

7482960 is an abundant number, since it is smaller than the sum of its proper divisors (19018320).

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

7482960 is a wasteful number, since it uses less digits than its factorization.

7482960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7482960 is about 2735.4999543045. The cubic root of 7482960 is about 195.5950266592.

The spelling of 7482960 in words is "seven million, four hundred eighty-two thousand, nine hundred sixty".