7641888 has 48 divisors (see below), whose sum is σ = 20938176. Its totient is φ = 2435840.

The previous prime is 7641883. The next prime is 7641913. The reversal of 7641888 is 8881467.

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

It is not an unprimeable number, because it can be changed into a prime (7641883) 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, 478 + ... + 3938.

It is an arithmetic number, because the mean of its divisors is an integer number (436212).

Almost surely, 2^7641888 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 7641888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10469088).

7641888 is an abundant number, since it is smaller than the sum of its proper divisors (13296288).

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

7641888 is a wasteful number, since it uses less digits than its factorization.

7641888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3497 (or 3489 counting only the distinct ones).

The product of its digits is 86016, while the sum is 42.

The square root of 7641888 is about 2764.3964983338. The cubic root of 7641888 is about 196.9700625314.

The spelling of 7641888 in words is "seven million, six hundred forty-one thousand, eight hundred eighty-eight".