84100896 has 96 divisors (see below), whose sum is σ = 267624000. Its totient is φ = 25482240.

The previous prime is 84100867. The next prime is 84100927. The reversal of 84100896 is 69800148.

It is a happy number.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 84100896.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5080 + ... + 13928.

It is an arithmetic number, because the mean of its divisors is an integer number (2787750).

Almost surely, 2^84100896 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 84100896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133812000).

84100896 is an abundant number, since it is smaller than the sum of its proper divisors (183523104).

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

84100896 is a wasteful number, since it uses less digits than its factorization.

84100896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8879 (or 8865 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 84100896 is about 9170.6540660958. The cubic root of 84100896 is about 438.1271914342.

The spelling of 84100896 in words is "eighty-four million, one hundred thousand, eight hundred ninety-six".