82436640 has 192 divisors, whose sum is σ = 305327232. Its totient is φ = 18432000.

The previous prime is 82436581. The next prime is 82436659. The reversal of 82436640 is 4663428.

It is a super-2 number, since 2×82436640² = 13591599228979200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 68040 + ... + 69240.

It is an arithmetic number, because the mean of its divisors is an integer number (1590246).

Almost surely, 2^82436640 is an apocalyptic number.

82436640 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 82436640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152663616).

82436640 is an abundant number, since it is smaller than the sum of its proper divisors (222890592).

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

82436640 is a wasteful number, since it uses less digits than its factorization.

82436640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 82436640 is about 9079.4625391595. The cubic root of 82436640 is about 435.2179116943.

The spelling of 82436640 in words is "eighty-two million, four hundred thirty-six thousand, six hundred forty".