1073971200 has 384 divisors, whose sum is σ = 3900643200. Its totient is φ = 259522560.

The previous prime is 1073971193. The next prime is 1073971201. The reversal of 1073971200 is 21793701.

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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1073971201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46694389 + ... + 46694411.

It is an arithmetic number, because the mean of its divisors is an integer number (10157925).

Almost surely, 2^1073971200 is an apocalyptic number.

1073971200 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 1073971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950321600).

1073971200 is an abundant number, since it is smaller than the sum of its proper divisors (2826672000).

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

1073971200 is an equidigital number, since it uses as much as digits as its factorization.

1073971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 1073971200 is about 32771.4998130998. The cubic root of 1073971200 is about 1024.0729114751.

The spelling of 1073971200 in words is "one billion, seventy-three million, nine hundred seventy-one thousand, two hundred".