1081924800 has 336 divisors, whose sum is σ = 4003267584. Its totient is φ = 253440000.

The previous prime is 1081924799. The next prime is 1081924813. The reversal of 1081924800 is 84291801.

It is a super-2 number, since 2×1081924800² = 2341122545710080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1636470 + ... + 1637130.

Almost surely, 2^1081924800 is an apocalyptic number.

1081924800 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 1081924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001633792).

1081924800 is an abundant number, since it is smaller than the sum of its proper divisors (2921342784).

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

1081924800 is a wasteful number, since it uses less digits than its factorization.

1081924800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 1081924800 is about 32892.6253132826. The cubic root of 1081924800 is about 1026.5947176955.

The spelling of 1081924800 in words is "one billion, eighty-one million, nine hundred twenty-four thousand, eight hundred".