47961000 has 144 divisors (see below), whose sum is σ = 164359260. Its totient is φ = 12614400.

The previous prime is 47960989. The next prime is 47961007. The reversal of 47961000 is 16974.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

47961000 is a `hidden beast` number, since 47 + 9 + 610 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2883204 + 45077796 = 1698^2 + 6714^2 .

It is not an unprimeable number, because it can be changed into a prime (47961007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 656964 + ... + 657036.

Almost surely, 2^47961000 is an apocalyptic number.

47961000 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 47961000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82179630).

47961000 is an abundant number, since it is smaller than the sum of its proper divisors (116398260).

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

47961000 is a wasteful number, since it uses less digits than its factorization.

47961000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 47961000 is about 6925.3880757688. The cubic root of 47961000 is about 363.3256645315.

Adding to 47961000 its reverse (16974), we get a palindrome (47977974).

The spelling of 47961000 in words is "forty-seven million, nine hundred sixty-one thousand".