86407000 has 64 divisors (see below), whose sum is σ = 205208640. Its totient is φ = 34048000.

The previous prime is 86406997. The next prime is 86407007. The reversal of 86407000 is 70468.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86407007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70392 + ... + 71608.

It is an arithmetic number, because the mean of its divisors is an integer number (3206385).

Almost surely, 2^86407000 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 86407000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102604320).

86407000 is an abundant number, since it is smaller than the sum of its proper divisors (118801640).

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

86407000 is a wasteful number, since it uses less digits than its factorization.

86407000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 86407000 is about 9295.5365633190. The cubic root of 86407000 is about 442.0957185054.

Adding to 86407000 its reverse (70468), we get a palindrome (86477468).

The spelling of 86407000 in words is "eighty-six million, four hundred seven thousand".