7964352 has 112 divisors (see below), whose sum is σ = 25603200. Its totient is φ = 2407680.

The previous prime is 7964339. The next prime is 7964377. The reversal of 7964352 is 2534697.

7964352 is a `hidden beast` number, since 7 + 9 + 643 + 5 + 2 = 666.

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 7⁴ + 9⁷ + 6 + 4¹⁰ + 3¹¹ + 5⁹ + 2⁷ .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18799 + ... + 19217.

It is an arithmetic number, because the mean of its divisors is an integer number (228600).

Almost surely, 2^7964352 is an apocalyptic number.

7964352 is a gapful number since it is divisible by the number (72) 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 7964352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12801600).

7964352 is an abundant number, since it is smaller than the sum of its proper divisors (17638848).

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

7964352 is a wasteful number, since it uses less digits than its factorization.

7964352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 435 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 7964352 is about 2822.1183532942. The cubic root of 7964352 is about 199.7024909947.

The spelling of 7964352 in words is "seven million, nine hundred sixty-four thousand, three hundred fifty-two".