84429200 has 30 divisors (see below), whose sum is σ = 202842114. Its totient is φ = 33771520.

The previous prime is 84429199. The next prime is 84429229. The reversal of 84429200 is 292448.

It can be written as a sum of positive squares in 3 ways, for example, as 6071296 + 78357904 = 2464^2 + 8852^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 105137 + ... + 105936.

Almost surely, 2^84429200 is an apocalyptic number.

84429200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84429200 is an abundant number, since it is smaller than the sum of its proper divisors (118412914).

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

84429200 is a wasteful number, since it uses less digits than its factorization.

84429200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211091 (or 211080 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 84429200 is about 9188.5363361092. The cubic root of 84429200 is about 438.6965557475.

The spelling of 84429200 in words is "eighty-four million, four hundred twenty-nine thousand, two hundred".