1201868864 has 168 divisors, whose sum is σ = 3050804160. Its totient is φ = 466228224.

The previous prime is 1201868813. The next prime is 1201868869. The reversal of 1201868864 is 4688681021.

It is not an unprimeable number, because it can be changed into a prime (1201868869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1369994 + ... + 1370870.

Almost surely, 2^1201868864 is an apocalyptic number.

1201868864 is a gapful number since it is divisible by the number (14) 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 1201868864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525402080).

1201868864 is an abundant number, since it is smaller than the sum of its proper divisors (1848935296).

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

1201868864 is a wasteful number, since it uses less digits than its factorization.

1201868864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 44.

The square root of 1201868864 is about 34667.9803853642. The cubic root of 1201868864 is about 1063.2099398115.

The spelling of 1201868864 in words is "one billion, two hundred one million, eight hundred sixty-eight thousand, eight hundred sixty-four".