87429300 has 288 divisors, whose sum is σ = 319979520. Its totient is φ = 17971200.

The previous prime is 87429281. The next prime is 87429311. The reversal of 87429300 is 392478.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1106661 + ... + 1106739.

It is an arithmetic number, because the mean of its divisors is an integer number (1111040).

Almost surely, 2^87429300 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 87429300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159989760).

87429300 is an abundant number, since it is smaller than the sum of its proper divisors (232550220).

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

87429300 is a wasteful number, since it uses less digits than its factorization.

87429300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 87429300 is about 9350.3636292927. The cubic root of 87429300 is about 443.8323975801.

The spelling of 87429300 in words is "eighty-seven million, four hundred twenty-nine thousand, three hundred".