47641000 has 128 divisors (see below), whose sum is σ = 125349120. Its totient is φ = 16800000.

The previous prime is 47640991. The next prime is 47641007. The reversal of 47641000 is 14674.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47641007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 670965 + ... + 671035.

It is an arithmetic number, because the mean of its divisors is an integer number (979290).

Almost surely, 2^47641000 is an apocalyptic number.

47641000 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 47641000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62674560).

47641000 is an abundant number, since it is smaller than the sum of its proper divisors (77708120).

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

47641000 is a wasteful number, since it uses less digits than its factorization.

47641000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 47641000 is about 6902.2460112633. The cubic root of 47641000 is about 362.5158138167.

Adding to 47641000 its reverse (14674), we get a palindrome (47655674).

The spelling of 47641000 in words is "forty-seven million, six hundred forty-one thousand".