55787634 has 48 divisors (see below), whose sum is σ = 141523200. Its totient is φ = 15549120.

The previous prime is 55787623. The next prime is 55787647. The reversal of 55787634 is 43678755.

55787634 is a `hidden beast` number, since 5 + 5 + 7 + 8 + 7 + 634 = 666.

It is a super-3 number, since 3×55787634³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 55787634.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234 + ... + 10565.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2^55787634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55787634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70761600).

55787634 is an abundant number, since it is smaller than the sum of its proper divisors (85735566).

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

55787634 is a wasteful number, since it uses less digits than its factorization.

55787634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10855 (or 10852 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 55787634 is about 7469.1119954115. Note that the first 3 decimals coincide. The cubic root of 55787634 is about 382.1020030410.

The spelling of 55787634 in words is "fifty-five million, seven hundred eighty-seven thousand, six hundred thirty-four".