86294400 has 192 divisors, whose sum is σ = 290271600. Its totient is φ = 22528000.

The previous prime is 86294387. The next prime is 86294407. The reversal of 86294400 is 449268.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86294407) 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, 854350 + ... + 854450.

Almost surely, 2^86294400 is an apocalyptic number.

86294400 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 86294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145135800).

86294400 is an abundant number, since it is smaller than the sum of its proper divisors (203977200).

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

86294400 is a wasteful number, since it uses less digits than its factorization.

86294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 86294400 is about 9289.4779185916. The cubic root of 86294400 is about 441.9035982030.

The spelling of 86294400 in words is "eighty-six million, two hundred ninety-four thousand, four hundred".