1081952640 has 256 divisors, whose sum is σ = 3884241600. Its totient is φ = 288147456.

The previous prime is 1081952629. The next prime is 1081952671. The reversal of 1081952640 is 462591801.

1081952640 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 9 + 5 + 2 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1081952595 and 1081952604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1399294 + ... + 1400066.

Almost surely, 2^1081952640 is an apocalyptic number.

1081952640 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 1081952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942120800).

1081952640 is an abundant number, since it is smaller than the sum of its proper divisors (2802288960).

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

1081952640 is an frugal number, since it uses more digits than its factorization.

1081952640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1081952640 is about 32893.0485057253. The cubic root of 1081952640 is about 1026.6035230369.

The spelling of 1081952640 in words is "one billion, eighty-one million, nine hundred fifty-two thousand, six hundred forty".