86829050 has 96 divisors (see below), whose sum is σ = 212129280. Its totient is φ = 25617600.

The previous prime is 86829049. The next prime is 86829053. The reversal of 86829050 is 5092868.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 86828995 and 86829013.

It is not an unprimeable number, because it can be changed into a prime (86829053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72557 + ... + 73743.

It is an arithmetic number, because the mean of its divisors is an integer number (2209680).

Almost surely, 2^86829050 is an apocalyptic number.

86829050 is an abundant number, since it is smaller than the sum of its proper divisors (125300230).

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

86829050 is a wasteful number, since it uses less digits than its factorization.

86829050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 86829050 is about 9318.2106651438. The cubic root of 86829050 is about 442.8143467391.

The spelling of 86829050 in words is "eighty-six million, eight hundred twenty-nine thousand, fifty".