1153867638 has 64 divisors (see below), whose sum is σ = 2916675072. Its totient is φ = 295591680.

The previous prime is 1153867621. The next prime is 1153867651. The reversal of 1153867638 is 8367683511.

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 16620 + ... + 50832.

It is an arithmetic number, because the mean of its divisors is an integer number (45573048).

Almost surely, 2^1153867638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1153867638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458337536).

1153867638 is an abundant number, since it is smaller than the sum of its proper divisors (1762807434).

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

1153867638 is a wasteful number, since it uses less digits than its factorization.

1153867638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34309.

The product of its digits is 725760, while the sum is 48.

The square root of 1153867638 is about 33968.6272610478. The cubic root of 1153867638 is about 1048.8627560092.

The spelling of 1153867638 in words is "one billion, one hundred fifty-three million, eight hundred sixty-seven thousand, six hundred thirty-eight".