1097874000 has 320 divisors, whose sum is σ = 3997244160. Its totient is φ = 291600000.

The previous prime is 1097873999. The next prime is 1097874031. The reversal of 1097874000 is 4787901.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4373875 + ... + 4374125.

It is an arithmetic number, because the mean of its divisors is an integer number (12491388).

Almost surely, 2^1097874000 is an apocalyptic number.

1097874000 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 1097874000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998622080).

1097874000 is an abundant number, since it is smaller than the sum of its proper divisors (2899370160).

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

1097874000 is an frugal number, since it uses more digits than its factorization.

1097874000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 1097874000 is about 33134.1817463477. The cubic root of 1097874000 is about 1031.6146479055.

The spelling of 1097874000 in words is "one billion, ninety-seven million, eight hundred seventy-four thousand".