1090525680 has 320 divisors, whose sum is σ = 3982602240. Its totient is φ = 277136640.

The previous prime is 1090525669. The next prime is 1090525687. The reversal of 1090525680 is 865250901.

It is a happy number.

1090525680 is a `hidden beast` number, since 1 + 0 + 90 + 5 + 2 + 568 + 0 = 666.

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1090525687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4023945 + ... + 4024215.

It is an arithmetic number, because the mean of its divisors is an integer number (12445632).

Almost surely, 2^1090525680 is an apocalyptic number.

1090525680 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 1090525680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991301120).

1090525680 is an abundant number, since it is smaller than the sum of its proper divisors (2892076560).

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

1090525680 is an equidigital number, since it uses as much as digits as its factorization.

1090525680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1090525680 is about 33023.1082728443. The cubic root of 1090525680 is about 1029.3078832886.

It can be divided in two parts, 10905 and 25680, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 1090525680 in words is "one billion, ninety million, five hundred twenty-five thousand, six hundred eighty".