82090944 has 168 divisors, whose sum is σ = 267197840. Its totient is φ = 23887872.

The previous prime is 82090937. The next prime is 82090949. The reversal of 82090944 is 44909028.

It is a happy number.

It is a super-2 number, since 2×82090944² = 13477846173622272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 82090899 and 82090908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82090949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141984 + ... + 142560.

Almost surely, 2^82090944 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 82090944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133598920).

82090944 is an abundant number, since it is smaller than the sum of its proper divisors (185106896).

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

82090944 is a wasteful number, since it uses less digits than its factorization.

82090944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 82090944 is about 9060.4052889482. The cubic root of 82090944 is about 434.6087008320.

The spelling of 82090944 in words is "eighty-two million, ninety thousand, nine hundred forty-four".