81254400 has 216 divisors, whose sum is σ = 280802340. Its totient is φ = 20725760.

The previous prime is 81254363. The next prime is 81254401. The reversal of 81254400 is 445218.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81254401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3532789 + ... + 3532811.

Almost surely, 2^81254400 is an apocalyptic number.

81254400 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 81254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140401170).

81254400 is an abundant number, since it is smaller than the sum of its proper divisors (199547940).

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

81254400 is a wasteful number, since it uses less digits than its factorization.

81254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 81254400 is about 9014.1222534421. The cubic root of 81254400 is about 433.1273708925.

Multiplying 81254400 by its sum of digits (24), we get a square (1950105600 = 44160²).

81254400 divided by its sum of digits (24) gives a square (3385600 = 1840²).

Adding to 81254400 its reverse (445218), we get a palindrome (81699618).

The spelling of 81254400 in words is "eighty-one million, two hundred fifty-four thousand, four hundred".