7352964 has 48 divisors (see below), whose sum is σ = 19277440. Its totient is φ = 2423520.

The previous prime is 7352963. The next prime is 7352977. The reversal of 7352964 is 4692537.

7352964 is a `hidden beast` number, since 73 + 529 + 64 = 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 7⁸ + 3⁵ + 5³ + 2 + 9⁶ + 6⁵ + 4¹⁰ .

It is not an unprimeable number, because it can be changed into a prime (7352963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10794 + ... + 11454.

Almost surely, 2^7352964 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 7352964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9638720).

7352964 is an abundant number, since it is smaller than the sum of its proper divisors (11924476).

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

7352964 is a wasteful number, since it uses less digits than its factorization.

7352964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 769 counting only the distinct ones).

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

The square root of 7352964 is about 2711.6349311808. The cubic root of 7352964 is about 194.4557605629.

The spelling of 7352964 in words is "seven million, three hundred fifty-two thousand, nine hundred sixty-four".