46667680 has 48 divisors (see below), whose sum is σ = 111109320. Its totient is φ = 18522112.

The previous prime is 46667657. The next prime is 46667707. The reversal of 46667680 is 8676664.

It can be written as a sum of positive squares in 4 ways, for example, as 33965584 + 12702096 = 5828^2 + 3564^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20856 + ... + 22984.

Almost surely, 2^46667680 is an apocalyptic number.

46667680 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 46667680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55554660).

46667680 is an abundant number, since it is smaller than the sum of its proper divisors (64441640).

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

46667680 is a wasteful number, since it uses less digits than its factorization.

46667680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The square root of 46667680 is about 6831.3746786427. The cubic root of 46667680 is about 360.0300386457.

The spelling of 46667680 in words is "forty-six million, six hundred sixty-seven thousand, six hundred eighty".