82199040 has 320 divisors, whose sum is σ = 329978880. Its totient is φ = 16957440.

The previous prime is 82199023. The next prime is 82199057. The reversal of 82199040 is 4099128.

It is an interprime number because it is at equal distance from previous prime (82199023) and next prime (82199057).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 82198992 and 82199010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 591291 + ... + 591429.

It is an arithmetic number, because the mean of its divisors is an integer number (1031184).

Almost surely, 2^82199040 is an apocalyptic number.

82199040 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 82199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164989440).

82199040 is an abundant number, since it is smaller than the sum of its proper divisors (247779840).

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

82199040 is a wasteful number, since it uses less digits than its factorization.

82199040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 82199040 is about 9066.3686225523. The cubic root of 82199040 is about 434.7993790169.

The spelling of 82199040 in words is "eighty-two million, one hundred ninety-nine thousand, forty".