946013040 has 640 divisors, whose sum is σ = 4071168000. Its totient is φ = 197074944.

The previous prime is 946013027. The next prime is 946013041. The reversal of 946013040 is 40310649.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 946012995 and 946013013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (946013041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10629316 + ... + 10629404.

It is an arithmetic number, because the mean of its divisors is an integer number (6361200).

Almost surely, 2^946013040 is an apocalyptic number.

946013040 is a gapful number since it is divisible by the number (90) 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 946013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035584000).

946013040 is an abundant number, since it is smaller than the sum of its proper divisors (3125154960).

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

946013040 is a wasteful number, since it uses less digits than its factorization.

946013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 946013040 is about 30757.3249812138. The cubic root of 946013040 is about 981.6704261377.

Adding to 946013040 its reverse (40310649), we get a palindrome (986323689).

It can be divided in two parts, 9460 and 13040, that added together give a square (22500 = 150²).

The spelling of 946013040 in words is "nine hundred forty-six million, thirteen thousand, forty".