1247261664 has 192 divisors, whose sum is σ = 3775403520. Its totient is φ = 356843520.

The previous prime is 1247261663. The next prime is 1247261671. The reversal of 1247261664 is 4661627421.

1247261664 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1247261663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2161344 + ... + 2161920.

It is an arithmetic number, because the mean of its divisors is an integer number (19663560).

Almost surely, 2^1247261664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1247261664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887701760).

1247261664 is an abundant number, since it is smaller than the sum of its proper divisors (2528141856).

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

1247261664 is a wasteful number, since it uses less digits than its factorization.

1247261664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 705 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 1247261664 is about 35316.5919080536. The cubic root of 1247261664 is about 1076.4301611065.

The spelling of 1247261664 in words is "one billion, two hundred forty-seven million, two hundred sixty-one thousand, six hundred sixty-four".