82946560 has 40 divisors (see below), whose sum is σ = 198883476. Its totient is φ = 33177600.

The previous prime is 82946557. The next prime is 82946561. The reversal of 82946560 is 6564928.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 74926336 + 8020224 = 8656^2 + 2832^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82946561) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13641 + ... + 18760.

Almost surely, 2^82946560 is an apocalyptic number.

82946560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82946560 is an abundant number, since it is smaller than the sum of its proper divisors (115936916).

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

82946560 is an equidigital number, since it uses as much as digits as its factorization.

82946560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32424 (or 32408 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 82946560 is about 9107.5002058743. The cubic root of 82946560 is about 436.1134289511.

The spelling of 82946560 in words is "eighty-two million, nine hundred forty-six thousand, five hundred sixty".