1047346560 has 384 divisors, whose sum is σ = 3969725760. Its totient is φ = 252887040.

The previous prime is 1047346507. The next prime is 1047346567. The reversal of 1047346560 is 656437401.

It is a happy number.

1047346560 is a `hidden beast` number, since 10 + 47 + 3 + 46 + 560 = 666.

1047346560 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1047346567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5316382 + ... + 5316578.

Almost surely, 2^1047346560 is an apocalyptic number.

1047346560 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 1047346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984862880).

1047346560 is an abundant number, since it is smaller than the sum of its proper divisors (2922379200).

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

1047346560 is a wasteful number, since it uses less digits than its factorization.

1047346560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1047346560 is about 32362.7341242980. The cubic root of 1047346560 is about 1015.5394610215.

The spelling of 1047346560 in words is "one billion, forty-seven million, three hundred forty-six thousand, five hundred sixty".