124006560 has 96 divisors (see below), whose sum is σ = 396083520. Its totient is φ = 32606208.

The previous prime is 124006549. The next prime is 124006577. The reversal of 124006560 is 65600421.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 124006560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33271 + ... + 36809.

It is an arithmetic number, because the mean of its divisors is an integer number (4125870).

Almost surely, 2^124006560 is an apocalyptic number.

124006560 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 124006560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198041760).

124006560 is an abundant number, since it is smaller than the sum of its proper divisors (272076960).

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

124006560 is a wasteful number, since it uses less digits than its factorization.

124006560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3630 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 124006560 is about 11135.8232744598. The cubic root of 124006560 is about 498.6718886976.

Adding to 124006560 its reverse (65600421), we get a palindrome (189606981).

The spelling of 124006560 in words is "one hundred twenty-four million, six thousand, five hundred sixty".