82801824 has 48 divisors (see below), whose sum is σ = 248407488. Its totient is φ = 23657472.

The previous prime is 82801813. The next prime is 82801853. The reversal of 82801824 is 42810828.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×82801824² = 13712284115453952, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60937 + ... + 62280.

It is an arithmetic number, because the mean of its divisors is an integer number (5175156).

Almost surely, 2^82801824 is an apocalyptic number.

82801824 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

82801824 is an abundant number, since it is smaller than the sum of its proper divisors (165605664).

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

82801824 is a wasteful number, since it uses less digits than its factorization.

82801824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123237 (or 123229 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 82801824 is about 9099.5507581419. The cubic root of 82801824 is about 435.8596186946.

The spelling of 82801824 in words is "eighty-two million, eight hundred one thousand, eight hundred twenty-four".