7528464 has 100 divisors (see below), whose sum is σ = 22521004. Its totient is φ = 2426112.

The previous prime is 7528457. The next prime is 7528471. The reversal of 7528464 is 4648257.

It is an interprime number because it is at equal distance from previous prime (7528457) and next prime (7528471).

It can be written as a sum of positive squares in 2 ways, for example, as 4665600 + 2862864 = 2160^2 + 1692^2 .

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

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47874 + ... + 48030.

Almost surely, 2^7528464 is an apocalyptic number.

7528464 is a gapful number since it is divisible by the number (74) 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 7528464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11260502).

7528464 is an abundant number, since it is smaller than the sum of its proper divisors (14992540).

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

7528464 is a wasteful number, since it uses less digits than its factorization.

7528464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 199 counting only the distinct ones).

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

The square root of 7528464 is about 2743.8046577699. The cubic root of 7528464 is about 195.9906978787.

It can be divided in two parts, 752 and 8464, that added together give a square (9216 = 96²).

The spelling of 7528464 in words is "seven million, five hundred twenty-eight thousand, four hundred sixty-four".