87198400 has 42 divisors (see below), whose sum is σ = 214566500. Its totient is φ = 34878720.

The previous prime is 87198361. The next prime is 87198403. The reversal of 87198400 is 489178.

It is a self number, because there is not a number n which added to its sum of digits gives 87198400.

It is not an unprimeable number, because it can be changed into a prime (87198403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25650 + ... + 28849.

Almost surely, 2^87198400 is an apocalyptic number.

87198400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87198400 is an abundant number, since it is smaller than the sum of its proper divisors (127368100).

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

87198400 is a wasteful number, since it uses less digits than its factorization.

87198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54521 (or 54506 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 87198400 is about 9338.0083529626. The cubic root of 87198400 is about 443.4413339807.

The spelling of 87198400 in words is "eighty-seven million, one hundred ninety-eight thousand, four hundred".