82603840 has 112 divisors (see below), whose sum is σ = 221796864. Its totient is φ = 29030400.

The previous prime is 82603813. The next prime is 82603891. The reversal of 82603840 is 4830628.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108742 + ... + 109498.

Almost surely, 2^82603840 is an apocalyptic number.

82603840 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 82603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110898432).

82603840 is an abundant number, since it is smaller than the sum of its proper divisors (139193024).

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

82603840 is a wasteful number, since it uses less digits than its factorization.

82603840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 82603840 is about 9088.6654685933. The cubic root of 82603840 is about 435.5119528443.

It can be divided in two parts, 8260 and 3840, that added together give a square (12100 = 110²).

The spelling of 82603840 in words is "eighty-two million, six hundred three thousand, eight hundred forty".