46896192 has 112 divisors (see below), whose sum is σ = 157601920. Its totient is φ = 13395456.

The previous prime is 46896191. The next prime is 46896193. The reversal of 46896192 is 29169864.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (46896191) and next prime (46896193).

It is a tau number, because it is divible by the number of its divisors (112).

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

It is not an unprimeable number, because it can be changed into a prime (46896191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10158 + ... + 14034.

It is an arithmetic number, because the mean of its divisors is an integer number (1407160).

Almost surely, 2^46896192 is an apocalyptic number.

46896192 is a gapful number since it is divisible by the number (42) 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 46896192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78800960).

46896192 is an abundant number, since it is smaller than the sum of its proper divisors (110705728).

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

46896192 is a wasteful number, since it uses less digits than its factorization.

46896192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3905 (or 3889 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 46896192 is about 6848.0794387916. The cubic root of 46896192 is about 360.6167206623.

The spelling of 46896192 in words is "forty-six million, eight hundred ninety-six thousand, one hundred ninety-two".