1214760960 has 432 divisors, whose sum is σ = 4915719900. Its totient is φ = 276627456.

The previous prime is 1214760931. The next prime is 1214760977. The reversal of 1214760960 is 690674121.

1214760960 is a `hidden beast` number, since 1 + 2 + 1 + 47 + 609 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1084253184 + 130507776 = 32928^2 + 11424^2 .

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 35 ways as a sum of consecutive naturals, for example, 4515706 + ... + 4515974.

Almost surely, 2^1214760960 is an apocalyptic number.

1214760960 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 1214760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457859950).

1214760960 is an abundant number, since it is smaller than the sum of its proper divisors (3700958940).

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

1214760960 is a wasteful number, since it uses less digits than its factorization.

1214760960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1214760960 is about 34853.4210659442. The cubic root of 1214760960 is about 1066.9980081750.

The spelling of 1214760960 in words is "one billion, two hundred fourteen million, seven hundred sixty thousand, nine hundred sixty".