46921680 has 200 divisors, whose sum is σ = 175816872. Its totient is φ = 11529216.

The previous prime is 46921673. The next prime is 46921709. The reversal of 46921680 is 8612964.

It can be written as a sum of positive squares in 4 ways, for example, as 627264 + 46294416 = 792^2 + 6804^2 .

It is a super-3 number, since 3×46921680³ (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 83962 + ... + 84518.

Almost surely, 2^46921680 is an apocalyptic number.

46921680 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 46921680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87908436).

46921680 is an abundant number, since it is smaller than the sum of its proper divisors (128895192).

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

46921680 is a wasteful number, since it uses less digits than its factorization.

46921680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 46921680 is about 6849.9401457239. The cubic root of 46921680 is about 360.6820403533.

The spelling of 46921680 in words is "forty-six million, nine hundred twenty-one thousand, six hundred eighty".