82314240 has 176 divisors, whose sum is σ = 275902848. Its totient is φ = 20905984.

The previous prime is 82314227. The next prime is 82314241. The reversal of 82314240 is 4241328.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 82314240.

It is not an unprimeable number, because it can be changed into a prime (82314241) 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, 353164 + ... + 353396.

Almost surely, 2^82314240 is an apocalyptic number.

82314240 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 82314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137951424).

82314240 is an abundant number, since it is smaller than the sum of its proper divisors (193588608).

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

82314240 is a wasteful number, since it uses less digits than its factorization.

82314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 82314240 is about 9072.7195481840. The cubic root of 82314240 is about 435.0024045316.

Adding to 82314240 its reverse (4241328), we get a palindrome (86555568).

The spelling of 82314240 in words is "eighty-two million, three hundred fourteen thousand, two hundred forty".