1211736064 has 224 divisors, whose sum is σ = 3227319936. Its totient is φ = 440401920.

The previous prime is 1211736037. The next prime is 1211736079. The reversal of 1211736064 is 4606371121.

It is a tau number, because it is divible by the number of its divisors (224).

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, 10723272 + ... + 10723384.

Almost surely, 2^1211736064 is an apocalyptic number.

1211736064 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 1211736064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613659968).

1211736064 is an abundant number, since it is smaller than the sum of its proper divisors (2015583872).

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

1211736064 is a wasteful number, since it uses less digits than its factorization.

1211736064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 1211736064 is about 34809.9994829072. Note that the first 3 decimals coincide. The cubic root of 1211736064 is about 1066.1116223416. Note that the first 3 decimals are identical.

The spelling of 1211736064 in words is "one billion, two hundred eleven million, seven hundred thirty-six thousand, sixty-four".