82667520 has 384 divisors, whose sum is σ = 330220800. Its totient is φ = 19464192.

The previous prime is 82667503. The next prime is 82667527. The reversal of 82667520 is 2576628.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82667527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3594229 + ... + 3594251.

It is an arithmetic number, because the mean of its divisors is an integer number (859950).

Almost surely, 2^82667520 is an apocalyptic number.

82667520 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 82667520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

82667520 is an abundant number, since it is smaller than the sum of its proper divisors (247553280).

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

82667520 is a wasteful number, since it uses less digits than its factorization.

82667520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 82667520 is about 9092.1680582796. The cubic root of 82667520 is about 435.6238373829.

The spelling of 82667520 in words is "eighty-two million, six hundred sixty-seven thousand, five hundred twenty".