55303680 has 160 divisors (see below), whose sum is σ = 186595200. Its totient is φ = 13934592.

The previous prime is 55303679. The next prime is 55303681. The reversal of 55303680 is 8630355.

It is an interprime number because it is at equal distance from previous prime (55303679) and next prime (55303681).

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55303681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145731 + ... + 146109.

It is an arithmetic number, because the mean of its divisors is an integer number (1166220).

Almost surely, 2^55303680 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 55303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93297600).

55303680 is an abundant number, since it is smaller than the sum of its proper divisors (131291520).

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

55303680 is a wasteful number, since it uses less digits than its factorization.

55303680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 408 counting only the distinct ones).

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

The square root of 55303680 is about 7436.6444045685. The cubic root of 55303680 is about 380.9938894453.

The spelling of 55303680 in words is "fifty-five million, three hundred three thousand, six hundred eighty".