82669440 has 128 divisors (see below), whose sum is σ = 301201920. Its totient is φ = 18892800.

The previous prime is 82669421. The next prime is 82669451. The reversal of 82669440 is 4496628.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10365 + ... + 16515.

It is an arithmetic number, because the mean of its divisors is an integer number (2353140).

Almost surely, 2^82669440 is an apocalyptic number.

82669440 is a gapful number since it is divisible by the number (80) 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 82669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150600960).

82669440 is an abundant number, since it is smaller than the sum of its proper divisors (218532480).

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

82669440 is a wasteful number, since it uses less digits than its factorization.

82669440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6180 (or 6168 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 82669440 is about 9092.2736430444. The cubic root of 82669440 is about 435.6272098936.

The spelling of 82669440 in words is "eighty-two million, six hundred sixty-nine thousand, four hundred forty".