86229600 has 288 divisors, whose sum is σ = 309980160. Its totient is φ = 20736000.

The previous prime is 86229587. The next prime is 86229617. The reversal of 86229600 is 692268.

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, 1413570 + ... + 1413630.

It is an arithmetic number, because the mean of its divisors is an integer number (1076320).

Almost surely, 2^86229600 is an apocalyptic number.

86229600 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 86229600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154990080).

86229600 is an abundant number, since it is smaller than the sum of its proper divisors (223750560).

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

86229600 is a wasteful number, since it uses less digits than its factorization.

86229600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 86229600 is about 9285.9894464726. The cubic root of 86229600 is about 441.7929594139.

The spelling of 86229600 in words is "eighty-six million, two hundred twenty-nine thousand, six hundred".