84753888 has 96 divisors (see below), whose sum is σ = 232297632. Its totient is φ = 27033600.

The previous prime is 84753887. The next prime is 84753923. The reversal of 84753888 is 88835748.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×84753888² = 14366443062233088, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 84753888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84753881) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 239920 + ... + 240272.

It is an arithmetic number, because the mean of its divisors is an integer number (2419767).

Almost surely, 2^84753888 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 84753888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116148816).

84753888 is an abundant number, since it is smaller than the sum of its proper divisors (147543744).

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

84753888 is a wasteful number, since it uses less digits than its factorization.

84753888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 460 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 51.

The square root of 84753888 is about 9206.1874845128. The cubic root of 84753888 is about 439.2581991283.

The spelling of 84753888 in words is "eighty-four million, seven hundred fifty-three thousand, eight hundred eighty-eight".