84029904 has 90 divisors (see below), whose sum is σ = 273584610. Its totient is φ = 24006528.

The previous prime is 84029873. The next prime is 84029941. The reversal of 84029904 is 40992048.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 66389904 + 17640000 = 8148^2 + 4200^2 .

It is a super-2 number, since 2×84029904² = 14122049532498432, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1102 + ... + 13010.

It is an arithmetic number, because the mean of its divisors is an integer number (3039829).

Almost surely, 2^84029904 is an apocalyptic number.

84029904 is a gapful number since it is divisible by the number (84) 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 84029904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136792305).

84029904 is an abundant number, since it is smaller than the sum of its proper divisors (189554706).

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

84029904 is a wasteful number, since it uses less digits than its factorization.

84029904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11937 (or 11921 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 84029904 is about 9166.7826416906. The cubic root of 84029904 is about 438.0038781167.

The spelling of 84029904 in words is "eighty-four million, twenty-nine thousand, nine hundred four".