55346160 has 160 divisors (see below), whose sum is σ = 182274048. Its totient is φ = 13870080.

The previous prime is 55346149. The next prime is 55346171. The reversal of 55346160 is 6164355.

It is an interprime number because it is at equal distance from previous prime (55346149) and next prime (55346171).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319834 + ... + 320006.

Almost surely, 2^55346160 is an apocalyptic number.

It is a pronic number, being equal to 7439×7440.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55346160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91137024).

55346160 is an abundant number, since it is smaller than the sum of its proper divisors (126927888).

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

55346160 is a wasteful number, since it uses less digits than its factorization.

55346160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 55346160 is about 7439.4999831978. The cubic root of 55346160 is about 381.0914144700.

The spelling of 55346160 in words is "fifty-five million, three hundred forty-six thousand, one hundred sixty".