1261920352 has 96 divisors (see below), whose sum is σ = 3106543104. Its totient is φ = 490214400.

The previous prime is 1261920281. The next prime is 1261920371. The reversal of 1261920352 is 2530291621.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1283253 + ... + 1284235.

It is an arithmetic number, because the mean of its divisors is an integer number (32359824).

Almost surely, 2^1261920352 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 1261920352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553271552).

1261920352 is an abundant number, since it is smaller than the sum of its proper divisors (1844622752).

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

1261920352 is a wasteful number, since it uses less digits than its factorization.

1261920352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 1261920352 is about 35523.5182942231. The cubic root of 1261920352 is about 1080.6307335382.

The spelling of 1261920352 in words is "one billion, two hundred sixty-one million, nine hundred twenty thousand, three hundred fifty-two".