1087633008 has 420 divisors, whose sum is σ = 4032619128. Its totient is φ = 280869120.

The previous prime is 1087633003. The next prime is 1087633031. The reversal of 1087633008 is 8003367801.

1087633008 is a `hidden beast` number, since 10 + 8 + 7 + 633 + 0 + 0 + 8 = 666.

It is a super-2 number, since 2×1087633008² = 2365891120182256128, which contains 22 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 not an unprimeable number, because it can be changed into a prime (1087633003) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 6286810 + ... + 6286982.

Almost surely, 2^1087633008 is an apocalyptic number.

1087633008 is a gapful number since it is divisible by the number (18) 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 1087633008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016309564).

1087633008 is an abundant number, since it is smaller than the sum of its proper divisors (2944986120).

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

1087633008 is a wasteful number, since it uses less digits than its factorization.

1087633008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1087633008 is about 32979.2814961151. The cubic root of 1087633008 is about 1028.3969811294.

The spelling of 1087633008 in words is "one billion, eighty-seven million, six hundred thirty-three thousand, eight".