86945400 has 144 divisors (see below), whose sum is σ = 302975400. Its totient is φ = 23172480.

The previous prime is 86945363. The next prime is 86945401. The reversal of 86945400 is 454968.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86945401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47706 + ... + 49494.

Almost surely, 2^86945400 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 86945400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151487700).

86945400 is an abundant number, since it is smaller than the sum of its proper divisors (216030000).

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

86945400 is a wasteful number, since it uses less digits than its factorization.

86945400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 86945400 is about 9324.4517265092. The cubic root of 86945400 is about 443.0120472921.

The spelling of 86945400 in words is "eighty-six million, nine hundred forty-five thousand, four hundred".