7898688 has 112 divisors (see below), whose sum is σ = 26578560. Its totient is φ = 2253312.

The previous prime is 7898687. The next prime is 7898731. The reversal of 7898688 is 8868987.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (7898687) 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, 11770 + ... + 12422.

Almost surely, 2^7898688 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 7898688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13289280).

7898688 is an abundant number, since it is smaller than the sum of its proper divisors (18679872).

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

7898688 is a wasteful number, since it uses less digits than its factorization.

7898688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 665 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 54.

The square root of 7898688 is about 2810.4604604940. The cubic root of 7898688 is about 199.1521441144.

Subtracting from 7898688 its product of digits (1548288), we obtain a square (6350400 = 2520²).

Subtracting 7898688 from its reverse (8868987), we obtain a cube (970299 = 99³).

The spelling of 7898688 in words is "seven million, eight hundred ninety-eight thousand, six hundred eighty-eight".