946764 has 108 divisors (see below), whose sum is σ = 3128944. Its totient is φ = 235008.

The previous prime is 946753. The next prime is 946769. The reversal of 946764 is 467649.

946764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (36288) is a multiple of the sum of its prime divisors (42).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 946764.

It is not an unprimeable number, because it can be changed into a prime (946769) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55684 + ... + 55700.

2⁹⁴⁶⁷⁶⁴ 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 946764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564472).

946764 is an abundant number, since it is smaller than the sum of its proper divisors (2182180).

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

946764 is a wasteful number, since it uses less digits than its factorization.

946764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 42 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 946764 is about 973.0179854453. The cubic root of 946764 is about 98.1930112566.

The spelling of 946764 in words is "nine hundred forty-six thousand, seven hundred sixty-four".