7625384 has 64 divisors (see below), whose sum is σ = 17236800. Its totient is φ = 3124224.

The previous prime is 7625377. The next prime is 7625389. The reversal of 7625384 is 4835267.

It is a happy number.

It is a super-2 number, since 2×7625384² = 116292962294912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (7625389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33479 + ... + 33705.

It is an arithmetic number, because the mean of its divisors is an integer number (269325).

Almost surely, 2^7625384 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 7625384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8618400).

7625384 is an abundant number, since it is smaller than the sum of its proper divisors (9611416).

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

7625384 is a wasteful number, since it uses less digits than its factorization.

7625384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 278 counting only the distinct ones).

The product of its digits is 40320, while the sum is 35.

The square root of 7625384 is about 2761.4097848744. The cubic root of 7625384 is about 196.8281631760.

The spelling of 7625384 in words is "seven million, six hundred twenty-five thousand, three hundred eighty-four".