1097712000 has 960 divisors, whose sum is σ = 5121436320. Its totient is φ = 228096000.

The previous prime is 1097711969. The next prime is 1097712001. The reversal of 1097712000 is 2177901.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1097712001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 99791995 + ... + 99792005.

Almost surely, 2^1097712000 is an apocalyptic number.

1097712000 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 1097712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560718160).

1097712000 is an abundant number, since it is smaller than the sum of its proper divisors (4023724320).

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

1097712000 is an equidigital number, since it uses as much as digits as its factorization.

1097712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 1097712000 is about 33131.7370507494. The cubic root of 1097712000 is about 1031.5639044402.

Adding to 1097712000 its reverse (2177901), we get a palindrome (1099889901).

The spelling of 1097712000 in words is "one billion, ninety-seven million, seven hundred twelve thousand".