86126400 has 126 divisors (see below), whose sum is σ = 306164742. Its totient is φ = 22963200.

The previous prime is 86126399. The next prime is 86126407. The reversal of 86126400 is 462168.

86126400 is a `hidden beast` number, since 8 + 6 + 12 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 304704 + 85821696 = 552^2 + 9264^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86126407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11410 + ... + 17390.

Almost surely, 2^86126400 is an apocalyptic number.

86126400 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 86126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153082371).

86126400 is an abundant number, since it is smaller than the sum of its proper divisors (220038342).

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

86126400 is a wasteful number, since it uses less digits than its factorization.

86126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6009 (or 5991 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 86126400 is about 9280.4310244729. The cubic root of 86126400 is about 441.6166424100.

Adding to 86126400 its reverse (462168), we get a palindrome (86588568).

It can be divided in two parts, 861 and 26400, that added together give a triangular number (27261 = T₂₃₃).

The spelling of 86126400 in words is "eighty-six million, one hundred twenty-six thousand, four hundred".