1213484640 has 96 divisors (see below), whose sum is σ = 3830361696. Its totient is φ = 322928640.

The previous prime is 1213484627. The next prime is 1213484641. The reversal of 1213484640 is 464843121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213484641) 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 15 ways as a sum of consecutive naturals, for example, 257344 + ... + 262016.

It is an arithmetic number, because the mean of its divisors is an integer number (39899601).

Almost surely, 2^1213484640 is an apocalyptic number.

1213484640 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 1213484640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915180848).

1213484640 is an abundant number, since it is smaller than the sum of its proper divisors (2616877056).

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

1213484640 is a wasteful number, since it uses less digits than its factorization.

1213484640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5232 (or 5224 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 1213484640 is about 34835.1064301518. The cubic root of 1213484640 is about 1066.6241875444.

The spelling of 1213484640 in words is "one billion, two hundred thirteen million, four hundred eighty-four thousand, six hundred forty".