81948672 has 260 divisors, whose sum is σ = 277511080. Its totient is φ = 23887872.

The previous prime is 81948641. The next prime is 81948677. The reversal of 81948672 is 27684918.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81948677) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4313079 + ... + 4313097.

Almost surely, 2^81948672 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 81948672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138755540).

81948672 is an abundant number, since it is smaller than the sum of its proper divisors (195562408).

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

81948672 is a wasteful number, since it uses less digits than its factorization.

81948672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 37 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 81948672 is about 9052.5505798090. The cubic root of 81948672 is about 434.3574818738.

It can be divided in two parts, 81 and 948672, that added together give a triangular number (948753 = T₁₃₇₇).

The spelling of 81948672 in words is "eighty-one million, nine hundred forty-eight thousand, six hundred seventy-two".