946642008 has 96 divisors (see below), whose sum is σ = 2713597200. Its totient is φ = 274120704.

The previous prime is 946642007. The next prime is 946642043. The reversal of 946642008 is 800246649.

It is a super-2 number, since 2×946642008² = 1792262182620544128, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (946642007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62088 + ... + 75816.

Almost surely, 2^946642008 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 946642008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356798600).

946642008 is an abundant number, since it is smaller than the sum of its proper divisors (1766955192).

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

946642008 is a wasteful number, since it uses less digits than its factorization.

946642008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13781 (or 13764 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 946642008 is about 30767.5479685983. The cubic root of 946642008 is about 981.8879363522.

The spelling of 946642008 in words is "nine hundred forty-six million, six hundred forty-two thousand, eight".