46820160 has 112 divisors (see below), whose sum is σ = 165201600. Its totient is φ = 12483072.

The previous prime is 46820153. The next prime is 46820167. The reversal of 46820160 is 6102864.

It is an interprime number because it is at equal distance from previous prime (46820153) and next prime (46820167).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46820167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5931 + ... + 11349.

Almost surely, 2^46820160 is an apocalyptic number.

46820160 is a gapful number since it is divisible by the number (40) 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 46820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82600800).

46820160 is an abundant number, since it is smaller than the sum of its proper divisors (118381440).

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

46820160 is a wasteful number, since it uses less digits than its factorization.

46820160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5445 (or 5429 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 46820160 is about 6842.5258494214. The cubic root of 46820160 is about 360.4217279890.

The spelling of 46820160 in words is "forty-six million, eight hundred twenty thousand, one hundred sixty".