1090325664 has 192 divisors, whose sum is σ = 3289507200. Its totient is φ = 351184896.

The previous prime is 1090325647. The next prime is 1090325683. The reversal of 1090325664 is 4665230901.

It is a happy number.

1090325664 is a `hidden beast` number, since 1 + 0 + 90 + 3 + 2 + 566 + 4 = 666.

It is a super-3 number, since 3×1090325664³ (a number of 28 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3721102 + ... + 3721394.

It is an arithmetic number, because the mean of its divisors is an integer number (17132850).

Almost surely, 2^1090325664 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 1090325664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644753600).

1090325664 is an abundant number, since it is smaller than the sum of its proper divisors (2199181536).

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

1090325664 is a wasteful number, since it uses less digits than its factorization.

1090325664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1090325664 is about 33020.0797091709. The cubic root of 1090325664 is about 1029.2449501431.

The spelling of 1090325664 in words is "one billion, ninety million, three hundred twenty-five thousand, six hundred sixty-four".