1082062800 has 600 divisors, whose sum is σ = 4792637696. Its totient is φ = 227681280.

The previous prime is 1082062789. The next prime is 1082062823. The reversal of 1082062800 is 82602801.

1082062800 is a `hidden beast` number, since 10 + 8 + 20 + 628 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2948217 + ... + 2948583.

Almost surely, 2^1082062800 is an apocalyptic number.

1082062800 is a gapful number since it is divisible by the number (10) 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 1082062800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396318848).

1082062800 is an abundant number, since it is smaller than the sum of its proper divisors (3710574896).

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

1082062800 is a wasteful number, since it uses less digits than its factorization.

1082062800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1082062800 is about 32894.7229810497. The cubic root of 1082062800 is about 1026.6383633808.

The spelling of 1082062800 in words is "one billion, eighty-two million, sixty-two thousand, eight hundred".