1093948800 has 384 divisors, whose sum is σ = 4193064960. Its totient is φ = 245514240.

The previous prime is 1093948799. The next prime is 1093948813. The reversal of 1093948800 is 88493901.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4905489 + ... + 4905711.

It is an arithmetic number, because the mean of its divisors is an integer number (10919440).

Almost surely, 2^1093948800 is an apocalyptic number.

1093948800 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 1093948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096532480).

1093948800 is an abundant number, since it is smaller than the sum of its proper divisors (3099116160).

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

1093948800 is a wasteful number, since it uses less digits than its factorization.

1093948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 1093948800 is about 33074.8968252359. The cubic root of 1093948800 is about 1030.3837449051.

The spelling of 1093948800 in words is "one billion, ninety-three million, nine hundred forty-eight thousand, eight hundred".