46536820 has 96 divisors (see below), whose sum is σ = 118008576. Its totient is φ = 15206400.

The previous prime is 46536799. The next prime is 46536883. The reversal of 46536820 is 2863564.

It is a happy number.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 85750 + ... + 86290.

It is an arithmetic number, because the mean of its divisors is an integer number (1229256).

Almost surely, 2^46536820 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 46536820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59004288).

46536820 is an abundant number, since it is smaller than the sum of its proper divisors (71471756).

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

46536820 is a wasteful number, since it uses less digits than its factorization.

46536820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 46536820 is about 6821.7900876529. The cubic root of 46536820 is about 359.6932057004.

The spelling of 46536820 in words is "forty-six million, five hundred thirty-six thousand, eight hundred twenty".