29400084 has 144 divisors (see below), whose sum is σ = 91728000. Its totient is φ = 8055936.

The previous prime is 29400073. The next prime is 29400101. The reversal of 29400084 is 48000492.

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 47 ways as a sum of consecutive naturals, for example, 197242 + ... + 197390.

It is an arithmetic number, because the mean of its divisors is an integer number (637000).

Almost surely, 2^29400084 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 29400084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45864000).

29400084 is an abundant number, since it is smaller than the sum of its proper divisors (62327916).

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

29400084 is a wasteful number, since it uses less digits than its factorization.

29400084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 29400084 is about 5422.1844306515. The cubic root of 29400084 is about 308.6380907563.

The spelling of 29400084 in words is "twenty-nine million, four hundred thousand, eighty-four".