86973600 has 288 divisors, whose sum is σ = 335978496. Its totient is φ = 19123200.

The previous prime is 86973599. The next prime is 86973619. The reversal of 86973600 is 637968.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 520717 + ... + 520883.

It is an arithmetic number, because the mean of its divisors is an integer number (1166592).

Almost surely, 2^86973600 is an apocalyptic number.

86973600 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 86973600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167989248).

86973600 is an abundant number, since it is smaller than the sum of its proper divisors (249004896).

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

86973600 is a wasteful number, since it uses less digits than its factorization.

86973600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 86973600 is about 9325.9637571674. The cubic root of 86973600 is about 443.0599378431.

The spelling of 86973600 in words is "eighty-six million, nine hundred seventy-three thousand, six hundred".