1216146960 has 360 divisors, whose sum is σ = 4861611456. Its totient is φ = 277136640.

The previous prime is 1216146839. The next prime is 1216146977. The reversal of 1216146960 is 696416121.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3673995 + ... + 3674325.

Almost surely, 2^1216146960 is an apocalyptic number.

1216146960 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 1216146960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430805728).

1216146960 is an abundant number, since it is smaller than the sum of its proper divisors (3645464496).

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

1216146960 is an frugal number, since it uses more digits than its factorization.

1216146960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1216146960 is about 34873.2986681788. The cubic root of 1216146960 is about 1067.4036564745.

The spelling of 1216146960 in words is "one billion, two hundred sixteen million, one hundred forty-six thousand, nine hundred sixty".