82460640 has 48 divisors (see below), whose sum is σ = 259752528. Its totient is φ = 21989376.

The previous prime is 82460629. The next prime is 82460641. The reversal of 82460640 is 4606428.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 82460598 and 82460607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82460641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85417 + ... + 86376.

It is an arithmetic number, because the mean of its divisors is an integer number (5411511).

Almost surely, 2^82460640 is an apocalyptic number.

82460640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82460640 is an abundant number, since it is smaller than the sum of its proper divisors (177291888).

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

82460640 is a wasteful number, since it uses less digits than its factorization.

82460640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171811 (or 171803 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 82460640 is about 9080.7841071132. The cubic root of 82460640 is about 435.2601429821.

The spelling of 82460640 in words is "eighty-two million, four hundred sixty thousand, six hundred forty".