86042000 has 80 divisors (see below), whose sum is σ = 227021184. Its totient is φ = 31280000.

The previous prime is 86041999. The next prime is 86042027. The reversal of 86042000 is 24068.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20045 + ... + 23955.

Almost surely, 2^86042000 is an apocalyptic number.

86042000 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 86042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113510592).

86042000 is an abundant number, since it is smaller than the sum of its proper divisors (140979184).

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

86042000 is a wasteful number, since it uses less digits than its factorization.

86042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3945 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 86042000 is about 9275.8827073223. The cubic root of 86042000 is about 441.4723404446.

Adding to 86042000 its reverse (24068), we get a palindrome (86066068).

The spelling of 86042000 in words is "eighty-six million, forty-two thousand".