81393600 has 168 divisors, whose sum is σ = 276156928. Its totient is φ = 20966400.

The previous prime is 81393589. The next prime is 81393607. The reversal of 81393600 is 639318.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81393607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148527 + ... + 149073.

Almost surely, 2^81393600 is an apocalyptic number.

81393600 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 81393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138078464).

81393600 is an abundant number, since it is smaller than the sum of its proper divisors (194763328).

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

81393600 is a wasteful number, since it uses less digits than its factorization.

81393600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 81393600 is about 9021.8401670613. The cubic root of 81393600 is about 433.3745654389.

The spelling of 81393600 in words is "eighty-one million, three hundred ninety-three thousand, six hundred".