1089973632 has 256 divisors, whose sum is σ = 3431704320. Its totient is φ = 302776320.

The previous prime is 1089973603. The next prime is 1089973669. The reversal of 1089973632 is 2363799801.

It is a super-3 number, since 3×1089973632³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3087568 + ... + 3087920.

It is an arithmetic number, because the mean of its divisors is an integer number (13405095).

Almost surely, 2^1089973632 is an apocalyptic number.

1089973632 is a gapful number since it is divisible by the number (12) 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 1089973632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715852160).

1089973632 is an abundant number, since it is smaller than the sum of its proper divisors (2341730688).

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

1089973632 is a wasteful number, since it uses less digits than its factorization.

1089973632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 1089973632 is about 33014.7487041777. The cubic root of 1089973632 is about 1029.1341679026.

The spelling of 1089973632 in words is "one billion, eighty-nine million, nine hundred seventy-three thousand, six hundred thirty-two".