13955580 has 144 divisors (see below), whose sum is σ = 45497088. Its totient is φ = 3456000.

The previous prime is 13955567. The next prime is 13955581. The reversal of 13955580 is 8555931.

It is a happy number.

13955580 is a `hidden beast` number, since 13 + 95 + 558 + 0 = 666.

It is a super-3 number, since 3×13955580³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13955581) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228750 + ... + 228810.

It is an arithmetic number, because the mean of its divisors is an integer number (315952).

Almost surely, 2^13955580 is an apocalyptic number.

13955580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13955580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22748544).

13955580 is an abundant number, since it is smaller than the sum of its proper divisors (31541508).

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

13955580 is a wasteful number, since it uses less digits than its factorization.

13955580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 13955580 is about 3735.7167986880. The cubic root of 13955580 is about 240.7590551163.

It can be divided in two parts, 13955 and 580, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 13955580 in words is "thirteen million, nine hundred fifty-five thousand, five hundred eighty".