1083156480 has 576 divisors, whose sum is σ = 4538177280. Its totient is φ = 233570304.

The previous prime is 1083156469. The next prime is 1083156497. The reversal of 1083156480 is 846513801.

1083156480 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 1 + 5 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×1083156480³ (a number of 28 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14837724 + ... + 14837796.

It is an arithmetic number, because the mean of its divisors is an integer number (7878780).

Almost surely, 2^1083156480 is an apocalyptic number.

1083156480 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 1083156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2269088640).

1083156480 is an abundant number, since it is smaller than the sum of its proper divisors (3455020800).

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

1083156480 is a wasteful number, since it uses less digits than its factorization.

1083156480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1083156480 is about 32911.3427255711. The cubic root of 1083156480 is about 1026.9841337520.

The spelling of 1083156480 in words is "one billion, eighty-three million, one hundred fifty-six thousand, four hundred eighty".