1216892160 has 540 divisors, whose sum is σ = 4835431524. Its totient is φ = 291962880.

The previous prime is 1216892099. The next prime is 1216892189. The reversal of 1216892160 is 612986121.

It can be written as a sum of positive squares in 2 ways, for example, as 491774976 + 725117184 = 22176^2 + 26928^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12545232 + ... + 12545328.

Almost surely, 2^1216892160 is an apocalyptic number.

1216892160 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 1216892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417715762).

1216892160 is an abundant number, since it is smaller than the sum of its proper divisors (3618539364).

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

1216892160 is an equidigital number, since it uses as much as digits as its factorization.

1216892160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1216892160 is about 34883.9814241437. The cubic root of 1216892160 is about 1067.6216308966.

1216892160 divided by its product of nonzero digits (10368) gives a triangular number (117370 = T₄₈₄).

The spelling of 1216892160 in words is "one billion, two hundred sixteen million, eight hundred ninety-two thousand, one hundred sixty".