1092368640 has 216 divisors, whose sum is σ = 3836375424. Its totient is φ = 264704000.

The previous prime is 1092368633. The next prime is 1092368681. The reversal of 1092368640 is 468632901.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 463465 + ... + 465815.

Almost surely, 2^1092368640 is an apocalyptic number.

1092368640 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 1092368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918187712).

1092368640 is an abundant number, since it is smaller than the sum of its proper divisors (2744006784).

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

1092368640 is a wasteful number, since it uses less digits than its factorization.

1092368640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 1092368640 is about 33051.0005899973. Note that the first 3 decimals coincide. The cubic root of 1092368640 is about 1029.8873914658.

Subtracting from 1092368640 its sum of digits (39), we obtain a square (1092368601 = 33051²).

The spelling of 1092368640 in words is "one billion, ninety-two million, three hundred sixty-eight thousand, six hundred forty".