1097441664 has 384 divisors, whose sum is σ = 3607372800. Its totient is φ = 292454400.

The previous prime is 1097441663. The next prime is 1097441731. The reversal of 1097441664 is 4661447901.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1097441663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35401329 + ... + 35401359.

It is an arithmetic number, because the mean of its divisors is an integer number (9394200).

Almost surely, 2^1097441664 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 1097441664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803686400).

1097441664 is an abundant number, since it is smaller than the sum of its proper divisors (2509931136).

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

1097441664 is a wasteful number, since it uses less digits than its factorization.

1097441664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 1097441664 is about 33127.6570858852. The cubic root of 1097441664 is about 1031.4792156344.

The spelling of 1097441664 in words is "one billion, ninety-seven million, four hundred forty-one thousand, six hundred sixty-four".