81314604 has 288 divisors, whose sum is σ = 278853120. Its totient is φ = 20155392.

The previous prime is 81314599. The next prime is 81314657. The reversal of 81314604 is 40641318.

It is a super-2 number, since 2×81314604² = 13224129647353632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2197674 + ... + 2197710.

It is an arithmetic number, because the mean of its divisors is an integer number (968240).

Almost surely, 2^81314604 is an apocalyptic number.

81314604 is a gapful number since it is divisible by the number (84) 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 81314604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139426560).

81314604 is an abundant number, since it is smaller than the sum of its proper divisors (197538516).

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

81314604 is a wasteful number, since it uses less digits than its factorization.

81314604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 81314604 is about 9017.4610617402. The cubic root of 81314604 is about 433.2343171531.

It can be divided in two parts, 81314 and 604, that added together give a palindrome (81918).

The spelling of 81314604 in words is "eighty-one million, three hundred fourteen thousand, six hundred four".