1092664440 has 384 divisors, whose sum is σ = 4269957120. Its totient is φ = 237081600.

The previous prime is 1092664423. The next prime is 1092664457. The reversal of 1092664440 is 444662901.

1092664440 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 6 + 644 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1092664423) and next prime (1092664457).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1092664395 and 1092664404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5546422 + ... + 5546618.

It is an arithmetic number, because the mean of its divisors is an integer number (11119680).

Almost surely, 2^1092664440 is an apocalyptic number.

1092664440 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 1092664440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134978560).

1092664440 is an abundant number, since it is smaller than the sum of its proper divisors (3177292680).

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

1092664440 is a wasteful number, since it uses less digits than its factorization.

1092664440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1092664440 is about 33055.4751894448. The cubic root of 1092664440 is about 1029.9803433582.

The spelling of 1092664440 in words is "one billion, ninety-two million, six hundred sixty-four thousand, four hundred forty".