1214976672 has 576 divisors, whose sum is σ = 4715553024. Its totient is φ = 298598400.

The previous prime is 1214976671. The next prime is 1214976713. The reversal of 1214976672 is 2766794121.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1214976671) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 12029422 + ... + 12029522.

It is an arithmetic number, because the mean of its divisors is an integer number (8186724).

Almost surely, 2^1214976672 is an apocalyptic number.

1214976672 is a gapful number since it is divisible by the number (12) 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 1214976672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357776512).

1214976672 is an abundant number, since it is smaller than the sum of its proper divisors (3500576352).

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

1214976672 is a wasteful number, since it uses less digits than its factorization.

1214976672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 143 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 1214976672 is about 34856.5154884994. The cubic root of 1214976672 is about 1067.0611620682.

The spelling of 1214976672 in words is "one billion, two hundred fourteen million, nine hundred seventy-six thousand, six hundred seventy-two".