1090535040 has 768 divisors, whose sum is σ = 4788875520. Its totient is φ = 222953472.

The previous prime is 1090535027. The next prime is 1090535063. The reversal of 1090535040 is 405350901.

1090535040 is a `hidden beast` number, since 1 + 0 + 90 + 535 + 0 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1090534995 and 1090535013.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25361259 + ... + 25361301.

It is an arithmetic number, because the mean of its divisors is an integer number (6235515).

Almost surely, 2^1090535040 is an apocalyptic number.

1090535040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1090535040 is the 16512-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1090535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2394437760).

1090535040 is an abundant number, since it is smaller than the sum of its proper divisors (3698340480).

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

1090535040 is a wasteful number, since it uses less digits than its factorization.

1090535040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 1090535040 is about 33023.2499914833. The cubic root of 1090535040 is about 1029.3108281357.

Adding to 1090535040 its reverse (405350901), we get a palindrome (1495885941).

It can be divided in two parts, 1090 and 535040, that added together give a triangular number (536130 = T₁₀₃₅).

The spelling of 1090535040 in words is "one billion, ninety million, five hundred thirty-five thousand, forty".