1090951680 has 480 divisors, whose sum is σ = 4388719104. Its totient is φ = 229146624.

The previous prime is 1090951669. The next prime is 1090951681. The reversal of 1090951680 is 861590901.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1090951681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4892049 + ... + 4892271.

Almost surely, 2^1090951680 is an apocalyptic number.

1090951680 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 1090951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194359552).

1090951680 is an abundant number, since it is smaller than the sum of its proper divisors (3297767424).

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

1090951680 is a wasteful number, since it uses less digits than its factorization.

1090951680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 39.

The square root of 1090951680 is about 33029.5576718793. The cubic root of 1090951680 is about 1029.4418945220.

The spelling of 1090951680 in words is "one billion, ninety million, nine hundred fifty-one thousand, six hundred eighty".