82620000 has 360 divisors, whose sum is σ = 322378056. Its totient is φ = 20736000.

The previous prime is 82619989. The next prime is 82620007. The reversal of 82620000 is 2628.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82620007) 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 59 ways as a sum of consecutive naturals, for example, 4859992 + ... + 4860008.

Almost surely, 2^82620000 is an apocalyptic number.

82620000 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 82620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161189028).

82620000 is an abundant number, since it is smaller than the sum of its proper divisors (239758056).

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

82620000 is an equidigital number, since it uses as much as digits as its factorization.

82620000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 82620000 is about 9089.5544445259. The cubic root of 82620000 is about 435.5403510974.

Adding to 82620000 its reverse (2628), we get a palindrome (82622628).

The spelling of 82620000 in words is "eighty-two million, six hundred twenty thousand".