55442632 has 64 divisors (see below), whose sum is σ = 124185600. Its totient is φ = 22705920.

The previous prime is 55442623. The next prime is 55442641. The reversal of 55442632 is 23624455.

It is an interprime number because it is at equal distance from previous prime (55442623) and next prime (55442641).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 55442594 and 55442603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189078 + ... + 189370.

It is an arithmetic number, because the mean of its divisors is an integer number (1940400).

Almost surely, 2^55442632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55442632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62092800).

55442632 is an abundant number, since it is smaller than the sum of its proper divisors (68742968).

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

55442632 is a wasteful number, since it uses less digits than its factorization.

55442632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 442 counting only the distinct ones).

The product of its digits is 28800, while the sum is 31.

The square root of 55442632 is about 7445.9809293336. The cubic root of 55442632 is about 381.3127084166.

The spelling of 55442632 in words is "fifty-five million, four hundred forty-two thousand, six hundred thirty-two".