82036944 has 120 divisors (see below), whose sum is σ = 254528352. Its totient is φ = 24456960.

The previous prime is 82036931. The next prime is 82036957. The reversal of 82036944 is 44963028.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82036931) and next prime (82036957).

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 = 82036899 and 82036908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105742 + ... + 106514.

Almost surely, 2^82036944 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 82036944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127264176).

82036944 is an abundant number, since it is smaller than the sum of its proper divisors (172491408).

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

82036944 is a wasteful number, since it uses less digits than its factorization.

82036944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 82036944 is about 9057.4247995774. The cubic root of 82036944 is about 434.5133837094.

The spelling of 82036944 in words is "eighty-two million, thirty-six thousand, nine hundred forty-four".