81829160 has 64 divisors (see below), whose sum is σ = 222808320. Its totient is φ = 26403840.

The previous prime is 81829159. The next prime is 81829207. The reversal of 81829160 is 6192818.

It is a super-2 number, since 2×81829160² = 13392022852611200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 81829160.

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, 3836 + ... + 13355.

It is an arithmetic number, because the mean of its divisors is an integer number (3481380).

Almost surely, 2^81829160 is an apocalyptic number.

It is an amenable number.

81829160 is an abundant number, since it is smaller than the sum of its proper divisors (140979160).

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

81829160 is a wasteful number, since it uses less digits than its factorization.

81829160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17226 (or 17222 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 35.

The square root of 81829160 is about 9045.9471588110. The cubic root of 81829160 is about 434.1462269268.

The spelling of 81829160 in words is "eighty-one million, eight hundred twenty-nine thousand, one hundred sixty".