47727840 has 96 divisors (see below), whose sum is σ = 159213600. Its totient is φ = 11976704.

The previous prime is 47727839. The next prime is 47727847. The reversal of 47727840 is 4872774.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×47727840² = 4555893422131200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47727847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5236 + ... + 11084.

It is an arithmetic number, because the mean of its divisors is an integer number (1658475).

Almost surely, 2^47727840 is an apocalyptic number.

47727840 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 47727840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79606800).

47727840 is an abundant number, since it is smaller than the sum of its proper divisors (111485760).

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

47727840 is a wasteful number, since it uses less digits than its factorization.

47727840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5884 (or 5876 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 39.

The square root of 47727840 is about 6908.5338531413. The cubic root of 47727840 is about 362.7359446902.

The spelling of 47727840 in words is "forty-seven million, seven hundred twenty-seven thousand, eight hundred forty".