46935168 has 128 divisors (see below), whose sum is σ = 150144000. Its totient is φ = 12690432.

The previous prime is 46935151. The next prime is 46935193. The reversal of 46935168 is 86153964.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50613 + ... + 51531.

It is an arithmetic number, because the mean of its divisors is an integer number (1173000).

Almost surely, 2^46935168 is an apocalyptic number.

46935168 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 46935168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75072000).

46935168 is an abundant number, since it is smaller than the sum of its proper divisors (103208832).

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

46935168 is a wasteful number, since it uses less digits than its factorization.

46935168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 950 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 46935168 is about 6850.9246091312. The cubic root of 46935168 is about 360.7165973234.

Subtracting 46935168 from its reverse (86153964), we obtain a triangular number (39218796 = T₈₈₅₆).

The spelling of 46935168 in words is "forty-six million, nine hundred thirty-five thousand, one hundred sixty-eight".