81827460 has 324 divisors, whose sum is σ = 312112164. Its totient is φ = 17233920.

The previous prime is 81827441. The next prime is 81827479. The reversal of 81827460 is 6472818.

It is an interprime number because it is at equal distance from previous prime (81827441) and next prime (81827479).

It can be written as a sum of positive squares in 6 ways, for example, as 69696 + 81757764 = 264^2 + 9042^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4813372 + ... + 4813388.

Almost surely, 2^81827460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81827460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156056082).

81827460 is an abundant number, since it is smaller than the sum of its proper divisors (230284704).

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

81827460 is a wasteful number, since it uses less digits than its factorization.

81827460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 81827460 is about 9045.8531935910. The cubic root of 81827460 is about 434.1432204448.

It can be divided in two parts, 81 and 827460, that added together give a triangular number (827541 = T₁₂₈₆).

The spelling of 81827460 in words is "eighty-one million, eight hundred twenty-seven thousand, four hundred sixty".