84129408 has 128 divisors (see below), whose sum is σ = 270993600. Its totient is φ = 25482240.

The previous prime is 84129403. The next prime is 84129449. The reversal of 84129408 is 80492148.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (84129401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36910 + ... + 39122.

Almost surely, 2^84129408 is an apocalyptic number.

84129408 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84129408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135496800).

84129408 is an abundant number, since it is smaller than the sum of its proper divisors (186864192).

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

84129408 is a wasteful number, since it uses less digits than its factorization.

84129408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 84129408 is about 9172.2084581632. The cubic root of 84129408 is about 438.1766973319.

The spelling of 84129408 in words is "eighty-four million, one hundred twenty-nine thousand, four hundred eight".