1047558960 has 320 divisors, whose sum is σ = 4180684800. Its totient is φ = 236141568.

The previous prime is 1047558959. The next prime is 1047558973. The reversal of 1047558960 is 698557401.

1047558960 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 5 + 589 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1194042 + ... + 1194918.

It is an arithmetic number, because the mean of its divisors is an integer number (13064640).

Almost surely, 2^1047558960 is an apocalyptic number.

1047558960 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 1047558960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090342400).

1047558960 is an abundant number, since it is smaller than the sum of its proper divisors (3133125840).

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

1047558960 is a wasteful number, since it uses less digits than its factorization.

1047558960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 1047558960 is about 32366.0155100995. The cubic root of 1047558960 is about 1015.6081062405.

The spelling of 1047558960 in words is "one billion, forty-seven million, five hundred fifty-eight thousand, nine hundred sixty".