86743400 has 48 divisors (see below), whose sum is σ = 202888800. Its totient is φ = 34489280.

The previous prime is 86743357. The next prime is 86743409. The reversal of 86743400 is 434768.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86743409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34589 + ... + 37011.

It is an arithmetic number, because the mean of its divisors is an integer number (4226850).

Almost surely, 2^86743400 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 86743400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101444400).

86743400 is an abundant number, since it is smaller than the sum of its proper divisors (116145400).

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

86743400 is a wasteful number, since it uses less digits than its factorization.

86743400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 86743400 is about 9313.6136917955. The cubic root of 86743400 is about 442.6686983786.

The spelling of 86743400 in words is "eighty-six million, seven hundred forty-three thousand, four hundred".