1097638080 has 448 divisors, whose sum is σ = 4494458880. Its totient is φ = 220262400.

The previous prime is 1097638033. The next prime is 1097638121. The reversal of 1097638080 is 808367901.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×1097638080³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2291281 + ... + 2291759.

Almost surely, 2^1097638080 is an apocalyptic number.

1097638080 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 1097638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247229440).

1097638080 is an abundant number, since it is smaller than the sum of its proper divisors (3396820800).

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

1097638080 is a wasteful number, since it uses less digits than its factorization.

1097638080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 1097638080 is about 33130.6214852665. The cubic root of 1097638080 is about 1031.5407487262.

The spelling of 1097638080 in words is "one billion, ninety-seven million, six hundred thirty-eight thousand, eighty".