946766040 has 256 divisors, whose sum is σ = 3389091840. Its totient is φ = 208896000.

The previous prime is 946766039. The next prime is 946766047. The reversal of 946766040 is 40667649.

It is a junction number, because it is equal to n+sod(n) for n = 946765983 and 946766001.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1361 × 561 × 1240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (946766047) 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 63 ways as a sum of consecutive naturals, for example, 694960 + ... + 696320.

It is an arithmetic number, because the mean of its divisors is an integer number (13238640).

Almost surely, 2^946766040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 946766040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694545920).

946766040 is an abundant number, since it is smaller than the sum of its proper divisors (2442325800).

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

946766040 is a wasteful number, since it uses less digits than its factorization.

946766040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 946766040 is about 30769.5635328160. The cubic root of 946766040 is about 981.9308178234.

The spelling of 946766040 in words is "nine hundred forty-six million, seven hundred sixty-six thousand, forty".