82000944 has 40 divisors (see below), whose sum is σ = 235374320. Its totient is φ = 27333504.

The previous prime is 82000937. The next prime is 82000949. The reversal of 82000944 is 44900028.

It is a super-2 number, since 2×82000944² = 13448309633782272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (82000949) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94477 + ... + 95340.

It is an arithmetic number, because the mean of its divisors is an integer number (5884358).

Almost surely, 2^82000944 is an apocalyptic number.

It is an amenable number.

82000944 is an abundant number, since it is smaller than the sum of its proper divisors (153373376).

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

82000944 is a wasteful number, since it uses less digits than its factorization.

82000944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189834 (or 189822 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 82000944 is about 9055.4372616677. The cubic root of 82000944 is about 434.4498157211.

It can be divided in two parts, 82000 and 944, that added together give a square (82944 = 288²).

The spelling of 82000944 in words is "eighty-two million, nine hundred forty-four", and thus it is an aban number.