7861888 has 32 divisors (see below), whose sum is σ = 16588260. Its totient is φ = 3698688.

The previous prime is 7861853. The next prime is 7861897. The reversal of 7861888 is 8881687.

It can be written as a sum of positive squares in 2 ways, for example, as 7441984 + 419904 = 2728^2 + 648^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 370 + ... + 3982.

Almost surely, 2^7861888 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 7861888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8294130).

7861888 is an abundant number, since it is smaller than the sum of its proper divisors (8726372).

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

7861888 is a wasteful number, since it uses less digits than its factorization.

7861888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644 (or 3632 counting only the distinct ones).

The product of its digits is 172032, while the sum is 46.

The square root of 7861888 is about 2803.9058472067. The cubic root of 7861888 is about 198.8423791643.

The spelling of 7861888 in words is "seven million, eight hundred sixty-one thousand, eight hundred eighty-eight".