82241520 has 40 divisors (see below), whose sum is σ = 254949456. Its totient is φ = 21931008.

The previous prime is 82241507. The next prime is 82241521. The reversal of 82241520 is 2514228.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×82241520² = 13527335223820800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82241521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171097 + ... + 171576.

Almost surely, 2^82241520 is an apocalyptic number.

82241520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82241520 is an abundant number, since it is smaller than the sum of its proper divisors (172707936).

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

82241520 is a wasteful number, since it uses less digits than its factorization.

82241520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342689 (or 342683 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 82241520 is about 9068.7110440238. The cubic root of 82241520 is about 434.8742667397.

Adding to 82241520 its reverse (2514228), we get a palindrome (84755748).

The spelling of 82241520 in words is "eighty-two million, two hundred forty-one thousand, five hundred twenty".