155806560 has 576 divisors, whose sum is σ = 693463680. Its totient is φ = 30965760.

The previous prime is 155806549. The next prime is 155806561. The reversal of 155806560 is 65608551.

155806560 is a `hidden beast` number, since 15 + 5 + 80 + 6 + 560 = 666.

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 (155806561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3800140 + ... + 3800180.

It is an arithmetic number, because the mean of its divisors is an integer number (1203930).

Almost surely, 2^155806560 is an apocalyptic number.

155806560 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 155806560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346731840).

155806560 is an abundant number, since it is smaller than the sum of its proper divisors (537657120).

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

155806560 is a wasteful number, since it uses less digits than its factorization.

155806560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 155806560 is about 12482.2497972120. The cubic root of 155806560 is about 538.0986630548.

The spelling of 155806560 in words is "one hundred fifty-five million, eight hundred six thousand, five hundred sixty".