87986400 has 144 divisors (see below), whose sum is σ = 291575088. Its totient is φ = 23040000.

The previous prime is 87986317. The next prime is 87986417. The reversal of 87986400 is 468978.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146100 + ... + 146700.

It is an arithmetic number, because the mean of its divisors is an integer number (2024827).

Almost surely, 2^87986400 is an apocalyptic number.

87986400 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 87986400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145787544).

87986400 is an abundant number, since it is smaller than the sum of its proper divisors (203588688).

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

87986400 is a wasteful number, since it uses less digits than its factorization.

87986400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 87986400 is about 9380.1066092023. The cubic root of 87986400 is about 444.7731031991.

The spelling of 87986400 in words is "eighty-seven million, nine hundred eighty-six thousand, four hundred".