86823900 has 144 divisors (see below), whose sum is σ = 283280480. Its totient is φ = 23094720.

The previous prime is 86823881. The next prime is 86823917. The reversal of 86823900 is 932868.

86823900 = T₂₆₂₃ + T₂₆₂₄ + ... + T₂₆₄₇.

It is a super-2 number, since 2×86823900² = 15076779222420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 218502 + ... + 218898.

Almost surely, 2^86823900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86823900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141640240).

86823900 is an abundant number, since it is smaller than the sum of its proper divisors (196456580).

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

86823900 is a wasteful number, since it uses less digits than its factorization.

86823900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 86823900 is about 9317.9343204382. The cubic root of 86823900 is about 442.8055918390.

The spelling of 86823900 in words is "eighty-six million, eight hundred twenty-three thousand, nine hundred".