1046136960 has 576 divisors, whose sum is σ = 4232592000. Its totient is φ = 237219840.

The previous prime is 1046136947. The next prime is 1046136961. The reversal of 1046136960 is 696316401.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (1046136961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13242201 + ... + 13242279.

It is an arithmetic number, because the mean of its divisors is an integer number (7348250).

Almost surely, 2^1046136960 is an apocalyptic number.

1046136960 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 1046136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116296000).

1046136960 is an abundant number, since it is smaller than the sum of its proper divisors (3186455040).

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

1046136960 is a wasteful number, since it uses less digits than its factorization.

1046136960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1046136960 is about 32344.0405639122. The cubic root of 1046136960 is about 1015.1483552876.

The spelling of 1046136960 in words is "one billion, forty-six million, one hundred thirty-six thousand, nine hundred sixty".