82014600 has 48 divisors (see below), whose sum is σ = 254247120. Its totient is φ = 21870400.

The previous prime is 82014599. The next prime is 82014601. The reversal of 82014600 is 641028.

It is an interprime number because it is at equal distance from previous prime (82014599) and next prime (82014601).

It is a super-2 number, since 2×82014600² = 13452789226320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82014601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67746 + ... + 68945.

It is an arithmetic number, because the mean of its divisors is an integer number (5296815).

Almost surely, 2^82014600 is an apocalyptic number.

It is an amenable number.

82014600 is an abundant number, since it is smaller than the sum of its proper divisors (172232520).

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

82014600 is a wasteful number, since it uses less digits than its factorization.

82014600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136710 (or 136701 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 82014600 is about 9056.1912523974. The cubic root of 82014600 is about 434.4739313677.

Adding to 82014600 its reverse (641028), we get a palindrome (82655628).

The spelling of 82014600 in words is "eighty-two million, fourteen thousand, six hundred".