86822400 has 480 divisors, whose sum is σ = 365333760. Its totient is φ = 17694720.

The previous prime is 86822371. The next prime is 86822423. The reversal of 86822400 is 422868.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 4569591 + ... + 4569609.

It is an arithmetic number, because the mean of its divisors is an integer number (761112).

Almost surely, 2^86822400 is an apocalyptic number.

86822400 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 86822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182666880).

86822400 is an abundant number, since it is smaller than the sum of its proper divisors (278511360).

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

86822400 is a wasteful number, since it uses less digits than its factorization.

86822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 86822400 is about 9317.8538301478. The cubic root of 86822400 is about 442.8030418030.

The spelling of 86822400 in words is "eighty-six million, eight hundred twenty-two thousand, four hundred".