47461680 has 320 divisors, whose sum is σ = 193797120. Its totient is φ = 10450944.

The previous prime is 47461663. The next prime is 47461697. The reversal of 47461680 is 8616474.

It is an interprime number because it is at equal distance from previous prime (47461663) and next prime (47461697).

It is a super-2 number, since 2×47461680² = 4505222136844800, which contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 650124 + ... + 650196.

It is an arithmetic number, because the mean of its divisors is an integer number (605616).

Almost surely, 2^47461680 is an apocalyptic number.

47461680 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 47461680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96898560).

47461680 is an abundant number, since it is smaller than the sum of its proper divisors (146335440).

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

47461680 is a wasteful number, since it uses less digits than its factorization.

47461680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 47461680 is about 6889.2437901413. The cubic root of 47461680 is about 362.0604072854.

The spelling of 47461680 in words is "forty-seven million, four hundred sixty-one thousand, six hundred eighty".