84088840 has 64 divisors (see below), whose sum is σ = 207567360. Its totient is φ = 30405120.

The previous prime is 84088811. The next prime is 84088841. The reversal of 84088840 is 4888048.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 84088793 and 84088802.

It is not an unprimeable number, because it can be changed into a prime (84088841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97692 + ... + 98548.

It is an arithmetic number, because the mean of its divisors is an integer number (3243240).

Almost surely, 2^84088840 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 84088840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103783680).

84088840 is an abundant number, since it is smaller than the sum of its proper divisors (123478520).

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

84088840 is a wasteful number, since it uses less digits than its factorization.

84088840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 84088840 is about 9169.9967284618. The cubic root of 84088840 is about 438.1062550190.

The spelling of 84088840 in words is "eighty-four million, eighty-eight thousand, eight hundred forty".