81546264 has 80 divisors (see below), whose sum is σ = 232261920. Its totient is φ = 26723520.

The previous prime is 81546239. The next prime is 81546287. The reversal of 81546264 is 46264518.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38497 + ... + 40559.

It is an arithmetic number, because the mean of its divisors is an integer number (2903274).

Almost surely, 2^81546264 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 81546264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116130960).

81546264 is an abundant number, since it is smaller than the sum of its proper divisors (150715656).

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

81546264 is a wasteful number, since it uses less digits than its factorization.

81546264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2129 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 81546264 is about 9030.2970050824. The cubic root of 81546264 is about 433.6453458338.

It can be divided in two parts, 81546 and 264, that added together give a triangular number (81810 = T₄₀₄).

The spelling of 81546264 in words is "eighty-one million, five hundred forty-six thousand, two hundred sixty-four".