81926208 has 224 divisors, whose sum is σ = 296997120. Its totient is φ = 21565440.

The previous prime is 81926171. The next prime is 81926209. The reversal of 81926208 is 80262918.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is not an unprimeable number, because it can be changed into a prime (81926209) 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, 156988 + ... + 157508.

It is an arithmetic number, because the mean of its divisors is an integer number (1325880).

Almost surely, 2^81926208 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 81926208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148498560).

81926208 is an abundant number, since it is smaller than the sum of its proper divisors (215070912).

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

81926208 is a wasteful number, since it uses less digits than its factorization.

81926208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 81926208 is about 9051.3097394797. The cubic root of 81926208 is about 434.3177891493.

It can be divided in two parts, 8192 and 6208, that added together give a square (14400 = 120²).

The spelling of 81926208 in words is "eighty-one million, nine hundred twenty-six thousand, two hundred eight".