82607040 has 140 divisors (see below), whose sum is σ = 293939976. Its totient is φ = 22021632.

The previous prime is 82607039. The next prime is 82607081. The reversal of 82607040 is 4070628.

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 = 82606995 and 82607013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24327 + ... + 27513.

Almost surely, 2^82607040 is an apocalyptic number.

82607040 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 82607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146969988).

82607040 is an abundant number, since it is smaller than the sum of its proper divisors (211332936).

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

82607040 is a wasteful number, since it uses less digits than its factorization.

82607040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3216 (or 3197 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 82607040 is about 9088.8415103356. The cubic root of 82607040 is about 435.5175765549.

Adding to 82607040 its reverse (4070628), we get a palindrome (86677668).

The spelling of 82607040 in words is "eighty-two million, six hundred seven thousand, forty".