84888768 has 112 divisors (see below), whose sum is σ = 239938560. Its totient is φ = 26425344.

The previous prime is 84888763. The next prime is 84888779. The reversal of 84888768 is 86788848.

It is a super-2 number, since 2×84888768² = 14412205865115648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84888761) 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, 207348 + ... + 207756.

Almost surely, 2^84888768 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 84888768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119969280).

84888768 is an abundant number, since it is smaller than the sum of its proper divisors (155049792).

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

84888768 is a wasteful number, since it uses less digits than its factorization.

84888768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 484 counting only the distinct ones).

The product of its digits is 5505024, while the sum is 57.

The square root of 84888768 is about 9213.5100803114. The cubic root of 84888768 is about 439.4910920602.

The spelling of 84888768 in words is "eighty-four million, eight hundred eighty-eight thousand, seven hundred sixty-eight".