1201567680 has 168 divisors, whose sum is σ = 4146889344. Its totient is φ = 319334400.

The previous prime is 1201567673. The next prime is 1201567699. The reversal of 1201567680 is 867651021.

1201567680 is a `hidden beast` number, since 12 + 0 + 1 + 567 + 6 + 80 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1211985 + ... + 1212975.

Almost surely, 2^1201567680 is an apocalyptic number.

1201567680 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 1201567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073444672).

1201567680 is an abundant number, since it is smaller than the sum of its proper divisors (2945321664).

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

1201567680 is a wasteful number, since it uses less digits than its factorization.

1201567680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1201567680 is about 34663.6362778056. The cubic root of 1201567680 is about 1063.1211202004.

The spelling of 1201567680 in words is "one billion, two hundred one million, five hundred sixty-seven thousand, six hundred eighty".