1090402560 has 360 divisors, whose sum is σ = 4206981240. Its totient is φ = 268075008.

The previous prime is 1090402553. The next prime is 1090402567. The reversal of 1090402560 is 652040901.

1090402560 is a `hidden beast` number, since 10 + 90 + 4 + 0 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (1090402553) and next prime (1090402567).

It can be written as a sum of positive squares in 4 ways, for example, as 122943744 + 967458816 = 11088^2 + 31104^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (1090402567) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1347436 + ... + 1348244.

It is an arithmetic number, because the mean of its divisors is an integer number (11686059).

Almost surely, 2^1090402560 is an apocalyptic number.

1090402560 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 1090402560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103490620).

1090402560 is an abundant number, since it is smaller than the sum of its proper divisors (3116578680).

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

1090402560 is an equidigital number, since it uses as much as digits as its factorization.

1090402560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1090402560 is about 33021.2440710522. The cubic root of 1090402560 is about 1029.2691456540.

The spelling of 1090402560 in words is "one billion, ninety million, four hundred two thousand, five hundred sixty".