1047864000 has 112 divisors (see below), whose sum is σ = 3460126176. Its totient is φ = 279424000.

The previous prime is 1047863981. The next prime is 1047864049. The reversal of 1047864000 is 4687401.

It is a hoax number, since the sum of its digits (30) 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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2170 + ... + 45830.

Almost surely, 2^1047864000 is an apocalyptic number.

1047864000 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 1047864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730063088).

1047864000 is an abundant number, since it is smaller than the sum of its proper divisors (2412262176).

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

1047864000 is an equidigital number, since it uses as much as digits as its factorization.

1047864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43691 (or 43671 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 1047864000 is about 32370.7275173111. The cubic root of 1047864000 is about 1015.7066754040.

The spelling of 1047864000 in words is "one billion, forty-seven million, eight hundred sixty-four thousand".