82641888 has 72 divisors (see below), whose sum is σ = 268592688. Its totient is φ = 23611392.

The previous prime is 82641869. The next prime is 82641899. The reversal of 82641888 is 88814628.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18481 + ... + 22512.

It is an arithmetic number, because the mean of its divisors is an integer number (3730454).

Almost surely, 2^82641888 is an apocalyptic number.

It is an amenable number.

82641888 is an abundant number, since it is smaller than the sum of its proper divisors (185950800).

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

82641888 is a wasteful number, since it uses less digits than its factorization.

82641888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41016 (or 41005 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 82641888 is about 9090.7583842054. The cubic root of 82641888 is about 435.5788093621.

The spelling of 82641888 in words is "eighty-two million, six hundred forty-one thousand, eight hundred eighty-eight".