1090613160 has 512 divisors, whose sum is σ = 4562611200. Its totient is φ = 228427776.

The previous prime is 1090613143. The next prime is 1090613177. The reversal of 1090613160 is 613160901.

It is an interprime number because it is at equal distance from previous prime (1090613143) and next prime (1090613177).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7960612 + ... + 7960748.

It is an arithmetic number, because the mean of its divisors is an integer number (8911350).

Almost surely, 2^1090613160 is an apocalyptic number.

1090613160 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 1090613160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281305600).

1090613160 is an abundant number, since it is smaller than the sum of its proper divisors (3471998040).

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

1090613160 is a wasteful number, since it uses less digits than its factorization.

1090613160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1090613160 is about 33024.4327733271. The cubic root of 1090613160 is about 1029.3354056257.

The spelling of 1090613160 in words is "one billion, ninety million, six hundred thirteen thousand, one hundred sixty".