82146240 has 168 divisors, whose sum is σ = 308353968. Its totient is φ = 19906560.

The previous prime is 82146217. The next prime is 82146263. The reversal of 82146240 is 4264128.

It is an interprime number because it is at equal distance from previous prime (82146217) and next prime (82146263).

It is a super-2 number, since 2×82146240² = 13496009492275200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 30384 + ... + 32976.

Almost surely, 2^82146240 is an apocalyptic number.

82146240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154176984).

82146240 is an abundant number, since it is smaller than the sum of its proper divisors (226207728).

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

82146240 is a wasteful number, since it uses less digits than its factorization.

82146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2627 (or 2614 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 82146240 is about 9063.4562943725. The cubic root of 82146240 is about 434.7062622584.

The spelling of 82146240 in words is "eighty-two million, one hundred forty-six thousand, two hundred forty".