1097971200 has 360 divisors, whose sum is σ = 4086410328. Its totient is φ = 291962880.

The previous prime is 1097971181. The next prime is 1097971219. The reversal of 1097971200 is 21797901.

It is an interprime number because it is at equal distance from previous prime (1097971181) and next prime (1097971219).

It is a tau number, because it is divible by the number of its divisors (360).

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 35 ways as a sum of consecutive naturals, for example, 3110224 + ... + 3110576.

Almost surely, 2^1097971200 is an apocalyptic number.

1097971200 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 1097971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043205164).

1097971200 is an abundant number, since it is smaller than the sum of its proper divisors (2988439128).

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

1097971200 is an frugal number, since it uses more digits than its factorization.

1097971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The square root of 1097971200 is about 33135.6484771311. The cubic root of 1097971200 is about 1031.6450915887.

The spelling of 1097971200 in words is "one billion, ninety-seven million, nine hundred seventy-one thousand, two hundred".