84406104 has 128 divisors (see below), whose sum is σ = 244555200. Its totient is φ = 26956800.

The previous prime is 84406099. The next prime is 84406123. The reversal of 84406104 is 40160448.

84406104 = T₄₀₇ + T₄₀₈ + ... + T₈₃₀.

84406104 is a `hidden beast` number, since 8 + 4 + 40 + 610 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 835654 + ... + 835754.

Almost surely, 2^84406104 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 84406104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122277600).

84406104 is an abundant number, since it is smaller than the sum of its proper divisors (160149096).

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

84406104 is a wasteful number, since it uses less digits than its factorization.

84406104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 84406104 is about 9187.2794667410. The cubic root of 84406104 is about 438.6565496056.

The spelling of 84406104 in words is "eighty-four million, four hundred six thousand, one hundred four".