82889190 has 64 divisors (see below), whose sum is σ = 221860800. Its totient is φ = 22021632.

The previous prime is 82889189. The next prime is 82889197. The reversal of 82889190 is 9198828.

It is a super-2 number, since 2×82889190² = 13741235637712200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82889197) 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, 116556 + ... + 117264.

It is an arithmetic number, because the mean of its divisors is an integer number (3466575).

Almost surely, 2^82889190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82889190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110930400).

82889190 is an abundant number, since it is smaller than the sum of its proper divisors (138971610).

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

82889190 is a wasteful number, since it uses less digits than its factorization.

With its successor (82889191) it forms an eRAP, since the sums of their prime factors are consecutive (1158 and 1159).

82889190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 82889190 is about 9104.3500591750. The cubic root of 82889190 is about 436.0128597896.

The spelling of 82889190 in words is "eighty-two million, eight hundred eighty-nine thousand, one hundred ninety".