81140400 has 240 divisors, whose sum is σ = 315515520. Its totient is φ = 19641600.

The previous prime is 81140369. The next prime is 81140419. The reversal of 81140400 is 404118.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118459 + ... + 119141.

It is an arithmetic number, because the mean of its divisors is an integer number (1314648).

Almost surely, 2^81140400 is an apocalyptic number.

81140400 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 81140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157757760).

81140400 is an abundant number, since it is smaller than the sum of its proper divisors (234375120).

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

81140400 is a wasteful number, since it uses less digits than its factorization.

81140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 81140400 is about 9007.7966229262. The cubic root of 81140400 is about 432.9247167180.

Adding to 81140400 its reverse (404118), we get a palindrome (81544518).

The spelling of 81140400 in words is "eighty-one million, one hundred forty thousand, four hundred".