82261410 has 128 divisors (see below), whose sum is σ = 248832000. Its totient is φ = 16907520.

The previous prime is 82261391. The next prime is 82261411. The reversal of 82261410 is 1416228.

It is not an unprimeable number, because it can be changed into a prime (82261411) 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, 344071 + ... + 344309.

It is an arithmetic number, because the mean of its divisors is an integer number (1944000).

Almost surely, 2^82261410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82261410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124416000).

82261410 is an abundant number, since it is smaller than the sum of its proper divisors (166570590).

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

82261410 is a wasteful number, since it uses less digits than its factorization.

82261410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416.

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 82261410 is about 9069.8076054567. The cubic root of 82261410 is about 434.9093218309.

Adding to 82261410 its reverse (1416228), we get a palindrome (83677638).

The spelling of 82261410 in words is "eighty-two million, two hundred sixty-one thousand, four hundred ten".