82611840 has 128 divisors (see below), whose sum is σ = 278925120. Its totient is φ = 20725760.

The previous prime is 82611827. The next prime is 82611887. The reversal of 82611840 is 4811628.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×82611840² = 13649432216371200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 82611798 and 82611807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31375 + ... + 33905.

Almost surely, 2^82611840 is an apocalyptic number.

82611840 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 82611840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139462560).

82611840 is an abundant number, since it is smaller than the sum of its proper divisors (196313280).

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

82611840 is a wasteful number, since it uses less digits than its factorization.

82611840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 82611840 is about 9089.1055665560. The cubic root of 82611840 is about 435.5260118484.

It can be divided in two parts, 8261 and 1840, that added together give a palindrome (10101).

The spelling of 82611840 in words is "eighty-two million, six hundred eleven thousand, eight hundred forty".