1080651600 has 720 divisors, whose sum is σ = 4709361280. Its totient is φ = 223948800.

The previous prime is 1080651547. The next prime is 1080651601. The reversal of 1080651600 is 61560801.

1080651600 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 6 + 51 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1080651601) 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 143 ways as a sum of consecutive naturals, for example, 17715570 + ... + 17715630.

Almost surely, 2^1080651600 is an apocalyptic number.

1080651600 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 1080651600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354680640).

1080651600 is an abundant number, since it is smaller than the sum of its proper divisors (3628709680).

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

1080651600 is a wasteful number, since it uses less digits than its factorization.

1080651600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1080651600 is about 32873.2657337235. The cubic root of 1080651600 is about 1026.1918636208.

The spelling of 1080651600 in words is "one billion, eighty million, six hundred fifty-one thousand, six hundred".