82391040 has 208 divisors, whose sum is σ = 294876000. Its totient is φ = 21823488.

The previous prime is 82391003. The next prime is 82391041. The reversal of 82391040 is 4019328.

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

It is a junction number, because it is equal to n+sod(n) for n = 82390995 and 82391013.

It is not an unprimeable number, because it can be changed into a prime (82391041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552886 + ... + 553034.

Almost surely, 2^82391040 is an apocalyptic number.

82391040 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 82391040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147438000).

82391040 is an abundant number, since it is smaller than the sum of its proper divisors (212484960).

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

82391040 is a wasteful number, since it uses less digits than its factorization.

82391040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 82391040 is about 9076.9510299439. The cubic root of 82391040 is about 435.1376496605.

The spelling of 82391040 in words is "eighty-two million, three hundred ninety-one thousand, forty".