82623840 has 96 divisors (see below), whose sum is σ = 280306656. Its totient is φ = 20336640.

The previous prime is 82623839. The next prime is 82623847. The reversal of 82623840 is 4832628.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82623847) 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, 381 + ... + 12860.

It is an arithmetic number, because the mean of its divisors is an integer number (2919861).

Almost surely, 2^82623840 is an apocalyptic number.

82623840 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 82623840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140153328).

82623840 is an abundant number, since it is smaller than the sum of its proper divisors (197682816).

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

82623840 is a wasteful number, since it uses less digits than its factorization.

82623840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13272 (or 13264 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 82623840 is about 9089.7656735474. The cubic root of 82623840 is about 435.5470986526.

The spelling of 82623840 in words is "eighty-two million, six hundred twenty-three thousand, eight hundred forty".