81200406 has 64 divisors (see below), whose sum is σ = 193651200. Its totient is φ = 22208256.

The previous prime is 81200393. The next prime is 81200407. The reversal of 81200406 is 60400218.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81200407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198330 + ... + 198738.

It is an arithmetic number, because the mean of its divisors is an integer number (3025800).

Almost surely, 2^81200406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81200406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96825600).

81200406 is an abundant number, since it is smaller than the sum of its proper divisors (112450794).

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

81200406 is a wasteful number, since it uses less digits than its factorization.

81200406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 81200406 is about 9011.1267885875. The cubic root of 81200406 is about 433.0314111198.

The spelling of 81200406 in words is "eighty-one million, two hundred thousand, four hundred six".