82626160 has 40 divisors (see below), whose sum is σ = 198308736. Its totient is φ = 31983360.

The previous prime is 82626157. The next prime is 82626161. The reversal of 82626160 is 6162628.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82626161) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 14179 + ... + 19138.

Almost surely, 2^82626160 is an apocalyptic number.

82626160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82626160 is an abundant number, since it is smaller than the sum of its proper divisors (115682576).

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

82626160 is a wasteful number, since it uses less digits than its factorization.

82626160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33361 (or 33355 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 82626160 is about 9089.8932887026. The cubic root of 82626160 is about 435.5511751993.

Adding to 82626160 its reverse (6162628), we get a palindrome (88788788).

The spelling of 82626160 in words is "eighty-two million, six hundred twenty-six thousand, one hundred sixty".