82621200 has 120 divisors (see below), whose sum is σ = 273323776. Its totient is φ = 21312000.

The previous prime is 82621199. The next prime is 82621229. The reversal of 82621200 is 212628.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36090 + ... + 38310.

Almost surely, 2^82621200 is an apocalyptic number.

82621200 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 82621200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136661888).

82621200 is an abundant number, since it is smaller than the sum of its proper divisors (190702576).

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

82621200 is a wasteful number, since it uses less digits than its factorization.

82621200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2273 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 82621200 is about 9089.6204541224. The cubic root of 82621200 is about 435.5424597309.

Adding to 82621200 its reverse (212628), we get a palindrome (82833828).

The spelling of 82621200 in words is "eighty-two million, six hundred twenty-one thousand, two hundred".