82347408 has 320 divisors, whose sum is σ = 293314560. Its totient is φ = 21772800.

The previous prime is 82347403. The next prime is 82347409. The reversal of 82347408 is 80474328.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (82347401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1915035 + ... + 1915077.

It is an arithmetic number, because the mean of its divisors is an integer number (916608).

Almost surely, 2^82347408 is an apocalyptic number.

82347408 is a gapful number since it is divisible by the number (88) 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 82347408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146657280).

82347408 is an abundant number, since it is smaller than the sum of its proper divisors (210967152).

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

82347408 is a wasteful number, since it uses less digits than its factorization.

82347408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 82347408 is about 9074.5472614340. The cubic root of 82347408 is about 435.0608238374.

Subtracting from 82347408 its reverse (80474328), we obtain a triangular number (1873080 = T₁₉₃₅).

The spelling of 82347408 in words is "eighty-two million, three hundred forty-seven thousand, four hundred eight".