82193440 has 48 divisors (see below), whose sum is σ = 221925312. Its totient is φ = 28180224.

The previous prime is 82193437. The next prime is 82193443. The reversal of 82193440 is 4439128.

It is an interprime number because it is at equal distance from previous prime (82193437) and next prime (82193443).

It is not an unprimeable number, because it can be changed into a prime (82193443) 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, 35574 + ... + 37813.

It is an arithmetic number, because the mean of its divisors is an integer number (4623444).

Almost surely, 2^82193440 is an apocalyptic number.

82193440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82193440 is an abundant number, since it is smaller than the sum of its proper divisors (139731872).

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

82193440 is a wasteful number, since it uses less digits than its factorization.

82193440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73409 (or 73401 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 82193440 is about 9066.0597836105. The cubic root of 82193440 is about 434.7895048877.

The spelling of 82193440 in words is "eighty-two million, one hundred ninety-three thousand, four hundred forty".