1089601632 has 360 divisors, whose sum is σ = 3900170736. Its totient is φ = 296980992.

The previous prime is 1089601619. The next prime is 1089601649. The reversal of 1089601632 is 2361069801.

1089601632 is a `hidden beast` number, since 10 + 8 + 9 + 6 + 0 + 1 + 632 = 666.

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 59 ways as a sum of consecutive naturals, for example, 2920998 + ... + 2921370.

Almost surely, 2^1089601632 is an apocalyptic number.

1089601632 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 1089601632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950085368).

1089601632 is an abundant number, since it is smaller than the sum of its proper divisors (2810569104).

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

1089601632 is a wasteful number, since it uses less digits than its factorization.

1089601632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1089601632 is about 33009.1143776988. The cubic root of 1089601632 is about 1029.0170759349.

It can be divided in two parts, 108960 and 1632, that added together give a cube (110592 = 48³).

The spelling of 1089601632 in words is "one billion, eighty-nine million, six hundred one thousand, six hundred thirty-two".