86938000 has 80 divisors (see below), whose sum is σ = 222668784. Its totient is φ = 32716800.

The previous prime is 86937989. The next prime is 86938001. The reversal of 86938000 is 83968.

It can be written as a sum of positive squares in 8 ways, for example, as 19501056 + 67436944 = 4416^2 + 8212^2 .

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

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (86938001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32722 + ... + 35278.

Almost surely, 2^86938000 is an apocalyptic number.

86938000 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 86938000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111334392).

86938000 is an abundant number, since it is smaller than the sum of its proper divisors (135730784).

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

86938000 is a wasteful number, since it uses less digits than its factorization.

86938000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2597 (or 2581 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 86938000 is about 9324.0549118932. The cubic root of 86938000 is about 442.9994785530. Note that the first 3 decimals are identical.

The spelling of 86938000 in words is "eighty-six million, nine hundred thirty-eight thousand".