87398400 has 144 divisors (see below), whose sum is σ = 289434600. Its totient is φ = 23265280.

The previous prime is 87398387. The next prime is 87398407. The reversal of 87398400 is 489378.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87398407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153316 + ... + 153884.

Almost surely, 2^87398400 is an apocalyptic number.

87398400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144717300).

87398400 is an abundant number, since it is smaller than the sum of its proper divisors (202036200).

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

87398400 is a wasteful number, since it uses less digits than its factorization.

87398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 87398400 is about 9348.7111411146. The cubic root of 87398400 is about 443.7801037568.

The spelling of 87398400 in words is "eighty-seven million, three hundred ninety-eight thousand, four hundred".