1097735968 has 192 divisors, whose sum is σ = 2743372800. Its totient is φ = 421724160.

The previous prime is 1097735953. The next prime is 1097735983. The reversal of 1097735968 is 8695377901.

It is an interprime number because it is at equal distance from previous prime (1097735953) and next prime (1097735983).

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12334068 + ... + 12334156.

It is an arithmetic number, because the mean of its divisors is an integer number (14288400).

Almost surely, 2^1097735968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1097735968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371686400).

1097735968 is an abundant number, since it is smaller than the sum of its proper divisors (1645636832).

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

1097735968 is a wasteful number, since it uses less digits than its factorization.

1097735968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 55.

The square root of 1097735968 is about 33132.0987563420. The cubic root of 1097735968 is about 1031.5714122819.

The spelling of 1097735968 in words is "one billion, ninety-seven million, seven hundred thirty-five thousand, nine hundred sixty-eight".