1138572960 has 384 divisors, whose sum is σ = 4486938624. Its totient is φ = 236666880.

The previous prime is 1138572959. The next prime is 1138573019. The reversal of 1138572960 is 692758311.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1770399 + ... + 1771041.

It is an arithmetic number, because the mean of its divisors is an integer number (11684736).

Almost surely, 2^1138572960 is an apocalyptic number.

1138572960 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 1138572960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243469312).

1138572960 is an abundant number, since it is smaller than the sum of its proper divisors (3348365664).

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

1138572960 is a wasteful number, since it uses less digits than its factorization.

1138572960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 1138572960 is about 33742.7467761592. The cubic root of 1138572960 is about 1044.2078533905.

The spelling of 1138572960 in words is "one billion, one hundred thirty-eight million, five hundred seventy-two thousand, nine hundred sixty".