82101888 has 288 divisors, whose sum is σ = 282172800. Its totient is φ = 22809600.

The previous prime is 82101883. The next prime is 82101893. The reversal of 82101888 is 88810128.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82101883) and next prime (82101893).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82101883) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2648433 + ... + 2648463.

Almost surely, 2^82101888 is an apocalyptic number.

82101888 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82101888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141086400).

82101888 is an abundant number, since it is smaller than the sum of its proper divisors (200070912).

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

82101888 is a wasteful number, since it uses less digits than its factorization.

82101888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The square root of 82101888 is about 9061.0092153137. The cubic root of 82101888 is about 434.6280133409.

The spelling of 82101888 in words is "eighty-two million, one hundred one thousand, eight hundred eighty-eight".