46075680 has 216 divisors, whose sum is σ = 183184092. Its totient is φ = 10515456.

The previous prime is 46075669. The next prime is 46075769. The reversal of 46075680 is 8657064.

It is a happy number.

46075680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 44036496 + 2039184 = 6636^2 + 1428^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70234 + ... + 70886.

Almost surely, 2^46075680 is an apocalyptic number.

46075680 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 46075680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91592046).

46075680 is an abundant number, since it is smaller than the sum of its proper divisors (137108412).

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

46075680 is a wasteful number, since it uses less digits than its factorization.

46075680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 46075680 is about 6787.9068938812. The cubic root of 46075680 is about 358.5011758626.

The spelling of 46075680 in words is "forty-six million, seventy-five thousand, six hundred eighty".