86273040 has 160 divisors (see below), whose sum is σ = 309623040. Its totient is φ = 19464192.

The previous prime is 86273039. The next prime is 86273111. The reversal of 86273040 is 4037268.

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

It is a junction number, because it is equal to n+sod(n) for n = 86272989 and 86273007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149232 + ... + 149808.

It is an arithmetic number, because the mean of its divisors is an integer number (1935144).

Almost surely, 2^86273040 is an apocalyptic number.

86273040 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 86273040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154811520).

86273040 is an abundant number, since it is smaller than the sum of its proper divisors (223350000).

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

86273040 is a wasteful number, since it uses less digits than its factorization.

86273040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 86273040 is about 9288.3281595775. The cubic root of 86273040 is about 441.8671345013.

The spelling of 86273040 in words is "eighty-six million, two hundred seventy-three thousand, forty".