55945980 has 144 divisors (see below), whose sum is σ = 183980160. Its totient is φ = 13707264.

The previous prime is 55945969. The next prime is 55945991. The reversal of 55945980 is 8954955.

55945980 is a `hidden beast` number, since 5 + 59 + 4 + 598 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (55945969) and next prime (55945991).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143626 + ... + 144014.

It is an arithmetic number, because the mean of its divisors is an integer number (1277640).

Almost surely, 2^55945980 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 55945980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91990080).

55945980 is an abundant number, since it is smaller than the sum of its proper divisors (128034180).

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

55945980 is a wasteful number, since it uses less digits than its factorization.

55945980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 55945980 is about 7479.7045396192. The cubic root of 55945980 is about 382.4631772831.

Subtracting from 55945980 its reverse (8954955), we obtain a square (46991025 = 6855²).

The spelling of 55945980 in words is "fifty-five million, nine hundred forty-five thousand, nine hundred eighty".