82178460 has 288 divisors, whose sum is σ = 319213440. Its totient is φ = 16644096.

The previous prime is 82178449. The next prime is 82178483. The reversal of 82178460 is 6487128.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 474934 + ... + 475106.

It is an arithmetic number, because the mean of its divisors is an integer number (1108380).

Almost surely, 2^82178460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82178460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159606720).

82178460 is an abundant number, since it is smaller than the sum of its proper divisors (237034980).

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

82178460 is a wasteful number, since it uses less digits than its factorization.

82178460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 82178460 is about 9065.2335877240. The cubic root of 82178460 is about 434.7630893875.

The spelling of 82178460 in words is "eighty-two million, one hundred seventy-eight thousand, four hundred sixty".