1214736640 has 144 divisors (see below), whose sum is σ = 3219815088. Its totient is φ = 436174848.

The previous prime is 1214736637. The next prime is 1214736689. The reversal of 1214736640 is 466374121.

It can be written as a sum of positive squares in 8 ways, for example, as 43454464 + 1171282176 = 6592^2 + 34224^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1214736596 and 1214736605.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 614694 + ... + 616666.

It is an arithmetic number, because the mean of its divisors is an integer number (22359827).

Almost surely, 2^1214736640 is an apocalyptic number.

1214736640 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 1214736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609907544).

1214736640 is an abundant number, since it is smaller than the sum of its proper divisors (2005078448).

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

1214736640 is a wasteful number, since it uses less digits than its factorization.

1214736640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 1214736640 is about 34853.0721744870. The cubic root of 1214736640 is about 1066.9908875519.

The spelling of 1214736640 in words is "one billion, two hundred fourteen million, seven hundred thirty-six thousand, six hundred forty".