87549800 has 96 divisors (see below), whose sum is σ = 221652480. Its totient is φ = 31968000.

The previous prime is 87549793. The next prime is 87549809. The reversal of 87549800 is 894578.

It is not an unprimeable number, because it can be changed into a prime (87549809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 392489 + ... + 392711.

It is an arithmetic number, because the mean of its divisors is an integer number (2308880).

Almost surely, 2^87549800 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 87549800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110826240).

87549800 is an abundant number, since it is smaller than the sum of its proper divisors (134102680).

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

87549800 is a wasteful number, since it uses less digits than its factorization.

87549800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The square root of 87549800 is about 9356.8050102586. The cubic root of 87549800 is about 444.0362089346.

The spelling of 87549800 in words is "eighty-seven million, five hundred forty-nine thousand, eight hundred".