1207641552 has 120 divisors (see below), whose sum is σ = 3461528448. Its totient is φ = 362419200.

The previous prime is 1207641527. The next prime is 1207641569. The reversal of 1207641552 is 2551467021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330777 + ... + 334407.

Almost surely, 2^1207641552 is an apocalyptic number.

1207641552 is a gapful number since it is divisible by the number (12) 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 1207641552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730764224).

1207641552 is an abundant number, since it is smaller than the sum of its proper divisors (2253886896).

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

1207641552 is a wasteful number, since it uses less digits than its factorization.

1207641552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3709 (or 3690 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 1207641552 is about 34751.1374202342. The cubic root of 1207641552 is about 1064.9094538286.

It can be divided in two parts, 12076 and 41552, that added together give a triangular number (53628 = T₃₂₇).

The spelling of 1207641552 in words is "one billion, two hundred seven million, six hundred forty-one thousand, five hundred fifty-two".