87149700 has 108 divisors (see below), whose sum is σ = 298033008. Its totient is φ = 21124800.

The previous prime is 87149687. The next prime is 87149717. The reversal of 87149700 is 794178.

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

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 35 ways as a sum of consecutive naturals, for example, 5499 + ... + 14301.

Almost surely, 2^87149700 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 87149700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149016504).

87149700 is an abundant number, since it is smaller than the sum of its proper divisors (210883308).

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

87149700 is a wasteful number, since it uses less digits than its factorization.

87149700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8834 (or 8824 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 87149700 is about 9335.4003663474. The cubic root of 87149700 is about 443.3587651317.

The spelling of 87149700 in words is "eighty-seven million, one hundred forty-nine thousand, seven hundred".