81054400 has 84 divisors (see below), whose sum is σ = 227968048. Its totient is φ = 27786240.

The previous prime is 81054373. The next prime is 81054401. The reversal of 81054400 is 445018.

It is not an unprimeable number, because it can be changed into a prime (81054401) 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 11 ways as a sum of consecutive naturals, for example, 7582 + ... + 14818.

Almost surely, 2^81054400 is an apocalyptic number.

81054400 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 81054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113984024).

81054400 is an abundant number, since it is smaller than the sum of its proper divisors (146913648).

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

81054400 is a wasteful number, since it uses less digits than its factorization.

81054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7266 (or 7251 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 81054400 is about 9003.0217149577. The cubic root of 81054400 is about 432.7717116093.

Adding to 81054400 its reverse (445018), we get a palindrome (81499418).

The spelling of 81054400 in words is "eighty-one million, fifty-four thousand, four hundred".