7896288 has 48 divisors (see below), whose sum is σ = 20998656. Its totient is φ = 2597760.

The previous prime is 7896283. The next prime is 7896299. The reversal of 7896288 is 8826987.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7896283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7473 + ... + 8463.

It is an arithmetic number, because the mean of its divisors is an integer number (437472).

Almost surely, 2^7896288 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 7896288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10499328).

7896288 is an abundant number, since it is smaller than the sum of its proper divisors (13102368).

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

7896288 is a wasteful number, since it uses less digits than its factorization.

7896288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1079 counting only the distinct ones).

The product of its digits is 387072, while the sum is 48.

The square root of 7896288 is about 2810.0334517582. The cubic root of 7896288 is about 199.1319714155.

The spelling of 7896288 in words is "seven million, eight hundred ninety-six thousand, two hundred eighty-eight".