1216184640 has 336 divisors, whose sum is σ = 4398117696. Its totient is φ = 282214400.

The previous prime is 1216184621. The next prime is 1216184647. The reversal of 1216184640 is 464816121.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1216184647) 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 47 ways as a sum of consecutive naturals, for example, 22946854 + ... + 22946906.

It is an arithmetic number, because the mean of its divisors is an integer number (13089636).

Almost surely, 2^1216184640 is an apocalyptic number.

1216184640 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 1216184640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199058848).

1216184640 is an abundant number, since it is smaller than the sum of its proper divisors (3181933056).

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

1216184640 is a wasteful number, since it uses less digits than its factorization.

1216184640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1216184640 is about 34873.8389054030. The cubic root of 1216184640 is about 1067.4146801845.

The spelling of 1216184640 in words is "one billion, two hundred sixteen million, one hundred eighty-four thousand, six hundred forty".