1097669664 has 384 divisors, whose sum is σ = 4118446080. Its totient is φ = 276452352.

The previous prime is 1097669659. The next prime is 1097669693. The reversal of 1097669664 is 4669667901.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1097669664.

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, 1808049 + ... + 1808655.

It is an arithmetic number, because the mean of its divisors is an integer number (10725120).

Almost surely, 2^1097669664 is an apocalyptic number.

1097669664 is a gapful number since it is divisible by the number (14) 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 1097669664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059223040).

1097669664 is an abundant number, since it is smaller than the sum of its proper divisors (3020776416).

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

1097669664 is a wasteful number, since it uses less digits than its factorization.

1097669664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 1097669664 is about 33131.0981405688. The cubic root of 1097669664 is about 1031.5506426585.

It can be divided in two parts, 1097 and 669664, that added together give a square (670761 = 819²).

The spelling of 1097669664 in words is "one billion, ninety-seven million, six hundred sixty-nine thousand, six hundred sixty-four".