46795968 has 196 divisors, whose sum is σ = 149915880. Its totient is φ = 14432256.

The previous prime is 46795963. The next prime is 46796003. The reversal of 46795968 is 86959764.

46795968 is a `hidden beast` number, since 46 + 7 + 9 + 596 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3265920) is a multiple of the sum of its prime divisors (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46795963) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 793123 + ... + 793181.

Almost surely, 2^46795968 is an apocalyptic number.

46795968 is a gapful number since it is divisible by the number (48) 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 46795968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74957940).

46795968 is an abundant number, since it is smaller than the sum of its proper divisors (103119912).

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

46795968 is an equidigital number, since it uses as much as digits as its factorization.

46795968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 81 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 46795968 is about 6840.7578527529. The cubic root of 46795968 is about 360.3596405988.

The spelling of 46795968 in words is "forty-six million, seven hundred ninety-five thousand, nine hundred sixty-eight".