87842700 has 216 divisors, whose sum is σ = 316854720. Its totient is φ = 20131200.

The previous prime is 87842693. The next prime is 87842717. The reversal of 87842700 is 724878.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 187867 + ... + 188333.

It is an arithmetic number, because the mean of its divisors is an integer number (1466920).

Almost surely, 2^87842700 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 87842700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158427360).

87842700 is an abundant number, since it is smaller than the sum of its proper divisors (229012020).

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

87842700 is a wasteful number, since it uses less digits than its factorization.

87842700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 87842700 is about 9372.4436514711. The cubic root of 87842700 is about 444.5308357524.

The spelling of 87842700 in words is "eighty-seven million, eight hundred forty-two thousand, seven hundred".