1046338560 has 396 divisors, whose sum is σ = 3893934408. Its totient is φ = 269402112.

The previous prime is 1046338549. The next prime is 1046338571. The reversal of 1046338560 is 658336401.

1046338560 is a `hidden beast` number, since 1 + 0 + 4 + 63 + 38 + 560 = 666.

1046338560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1046338549) and next prime (1046338571).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36080626 + ... + 36080654.

Almost surely, 2^1046338560 is an apocalyptic number.

1046338560 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 1046338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946967204).

1046338560 is an abundant number, since it is smaller than the sum of its proper divisors (2847595848).

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

1046338560 is an frugal number, since it uses more digits than its factorization.

1046338560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1046338560 is about 32347.1569075243. The cubic root of 1046338560 is about 1015.2135605049.

The spelling of 1046338560 in words is "one billion, forty-six million, three hundred thirty-eight thousand, five hundred sixty".