82267920 has 160 divisors (see below), whose sum is σ = 323907840. Its totient is φ = 18800640.

The previous prime is 82267919. The next prime is 82267921. The reversal of 82267920 is 2976228.

It is an interprime number because it is at equal distance from previous prime (82267919) and next prime (82267921).

It is a super-2 number, since 2×82267920² = 13536021322252800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (82267921) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12400 + ... + 17840.

It is an arithmetic number, because the mean of its divisors is an integer number (2024424).

Almost surely, 2^82267920 is an apocalyptic number.

82267920 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 82267920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161953920).

82267920 is an abundant number, since it is smaller than the sum of its proper divisors (241639920).

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

82267920 is a wasteful number, since it uses less digits than its factorization.

82267920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5470 (or 5458 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 82267920 is about 9070.1664813828. The cubic root of 82267920 is about 434.9207941401.

The spelling of 82267920 in words is "eighty-two million, two hundred sixty-seven thousand, nine hundred twenty".