1234291968 has 486 divisors, whose sum is σ = 4617270294. Its totient is φ = 314302464.

The previous prime is 1234291967. The next prime is 1234291999. The reversal of 1234291968 is 8691924321.

It can be written as a sum of positive squares in 3 ways, for example, as 59721984 + 1174569984 = 7728^2 + 34272^2 .

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

Its product of digits (186624) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1234291963) 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 53 ways as a sum of consecutive naturals, for example, 42561778 + ... + 42561806.

Almost surely, 2^1234291968 is an apocalyptic number.

1234291968 is a gapful number since it is divisible by the number (18) 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 1234291968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308635147).

1234291968 is an abundant number, since it is smaller than the sum of its proper divisors (3382978326).

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

1234291968 is a wasteful number, since it uses less digits than its factorization.

1234291968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 54 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 1234291968 is about 35132.4916281211. The cubic root of 1234291968 is about 1072.6860537573.

The spelling of 1234291968 in words is "one billion, two hundred thirty-four million, two hundred ninety-one thousand, nine hundred sixty-eight".