122626560 has 160 divisors (see below), whose sum is σ = 448221312. Its totient is φ = 28016640.

The previous prime is 122626507. The next prime is 122626561. The reversal of 122626560 is 65626221.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (122626561) 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, 52620 + ... + 54900.

Almost surely, 2^122626560 is an apocalyptic number.

122626560 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 122626560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224110656).

122626560 is an abundant number, since it is smaller than the sum of its proper divisors (325594752).

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

122626560 is an equidigital number, since it uses as much as digits as its factorization.

122626560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 122626560 is about 11073.6877326390. The cubic root of 122626560 is about 496.8151701229.

The spelling of 122626560 in words is "one hundred twenty-two million, six hundred twenty-six thousand, five hundred sixty".