86931000 has 192 divisors, whose sum is σ = 316854720. Its totient is φ = 21369600.

The previous prime is 86930999. The next prime is 86931001. The reversal of 86931000 is 13968.

It is an interprime number because it is at equal distance from previous prime (86930999) and next prime (86931001).

It is a super-2 number, since 2×86931000² = 15113997522000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86931001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116629 + ... + 117371.

It is an arithmetic number, because the mean of its divisors is an integer number (1650285).

Almost surely, 2^86931000 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 86931000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158427360).

86931000 is an abundant number, since it is smaller than the sum of its proper divisors (229923720).

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

86931000 is a wasteful number, since it uses less digits than its factorization.

86931000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 86931000 is about 9323.6795311722. The cubic root of 86931000 is about 442.9875885487.

Adding to 86931000 its reverse (13968), we get a palindrome (86944968).

The spelling of 86931000 in words is "eighty-six million, nine hundred thirty-one thousand".