1201858560 has 672 divisors, whose sum is σ = 5156161920. Its totient is φ = 262766592.

The previous prime is 1201858519. The next prime is 1201858577. The reversal of 1201858560 is 658581021.

1201858560 is a `hidden beast` number, since 1 + 2 + 0 + 18 + 585 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 52254709 + ... + 52254731.

It is an arithmetic number, because the mean of its divisors is an integer number (7672860).

Almost surely, 2^1201858560 is an apocalyptic number.

1201858560 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 1201858560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578080960).

1201858560 is an abundant number, since it is smaller than the sum of its proper divisors (3954303360).

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

1201858560 is an frugal number, since it uses more digits than its factorization.

1201858560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 1201858560 is about 34667.8317752928. The cubic root of 1201858560 is about 1063.2069013916.

The spelling of 1201858560 in words is "one billion, two hundred one million, eight hundred fifty-eight thousand, five hundred sixty".