86025400 has 48 divisors (see below), whose sum is σ = 200656800. Its totient is φ = 34298880.

The previous prime is 86025377. The next prime is 86025439. The reversal of 86025400 is 452068.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92136 + ... + 93064.

It is an arithmetic number, because the mean of its divisors is an integer number (4180350).

Almost surely, 2^86025400 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 86025400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100328400).

86025400 is an abundant number, since it is smaller than the sum of its proper divisors (114631400).

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

86025400 is a wasteful number, since it uses less digits than its factorization.

86025400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 86025400 is about 9274.9878706120. The cubic root of 86025400 is about 441.4439476745.

Adding to 86025400 its reverse (452068), we get a palindrome (86477468).

The spelling of 86025400 in words is "eighty-six million, twenty-five thousand, four hundred".