7582464 has 72 divisors (see below), whose sum is σ = 22443120. Its totient is φ = 2525184.

The previous prime is 7582453. The next prime is 7582489. The reversal of 7582464 is 4642857.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×7582464² = 114987520622592, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 7⁶ + 5⁷ + 8⁷ + 2 + 4¹⁰ + 6⁶ + 4¹¹ .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6364 + ... + 7460.

It is an arithmetic number, because the mean of its divisors is an integer number (311710).

Almost surely, 2^7582464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7582464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11221560).

7582464 is an abundant number, since it is smaller than the sum of its proper divisors (14860656).

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

7582464 is a wasteful number, since it uses less digits than its factorization.

7582464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1102 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 7582464 is about 2753.6274257786. The cubic root of 7582464 is about 196.4581811830.

The spelling of 7582464 in words is "seven million, five hundred eighty-two thousand, four hundred sixty-four".