55632150 has 216 divisors, whose sum is σ = 184686840. Its totient is φ = 12277440.

The previous prime is 55632149. The next prime is 55632151. The reversal of 55632150 is 5123655.

It is an interprime number because it is at equal distance from previous prime (55632149) and next prime (55632151).

It is a super-2 number, since 2×55632150² = 6189872227245000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55632151) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 1918336 + ... + 1918364.

Almost surely, 2^55632150 is an apocalyptic number.

55632150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 55632150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92343420).

55632150 is an abundant number, since it is smaller than the sum of its proper divisors (129054690).

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

55632150 is a wasteful number, since it uses less digits than its factorization.

55632150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 55632150 is about 7458.6962667748. The cubic root of 55632150 is about 381.7466911606.

The spelling of 55632150 in words is "fifty-five million, six hundred thirty-two thousand, one hundred fifty".