1082649600 has 396 divisors, whose sum is σ = 4012513024. Its totient is φ = 278691840.

The previous prime is 1082649553. The next prime is 1082649679. The reversal of 1082649600 is 69462801.

1082649600 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 6 + 49 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8524737 + ... + 8524863.

Almost surely, 2^1082649600 is an apocalyptic number.

1082649600 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 1082649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006256512).

1082649600 is an abundant number, since it is smaller than the sum of its proper divisors (2929863424).

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

1082649600 is a wasteful number, since it uses less digits than its factorization.

1082649600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1082649600 is about 32903.6411358986. The cubic root of 1082649600 is about 1026.8239109989.

The spelling of 1082649600 in words is "one billion, eighty-two million, six hundred forty-nine thousand, six hundred".