1081619840 has 256 divisors, whose sum is σ = 3166732800. Its totient is φ = 345047040.

The previous prime is 1081619797. The next prime is 1081619843. The reversal of 1081619840 is 489161801.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 1081619794 and 1081619803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1081619843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8256575 + ... + 8256705.

It is an arithmetic number, because the mean of its divisors is an integer number (12370050).

Almost surely, 2^1081619840 is an apocalyptic number.

1081619840 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 1081619840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583366400).

1081619840 is an abundant number, since it is smaller than the sum of its proper divisors (2085112960).

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

1081619840 is a wasteful number, since it uses less digits than its factorization.

1081619840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 38.

The square root of 1081619840 is about 32887.9892970063. The cubic root of 1081619840 is about 1026.4982538918.

The spelling of 1081619840 in words is "one billion, eighty-one million, six hundred nineteen thousand, eight hundred forty".