47961760 has 192 divisors, whose sum is σ = 150232320. Its totient is φ = 14008320.

The previous prime is 47961751. The next prime is 47961779. The reversal of 47961760 is 6716974.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209326 + ... + 209554.

It is an arithmetic number, because the mean of its divisors is an integer number (782460).

Almost surely, 2^47961760 is an apocalyptic number.

47961760 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 47961760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75116160).

47961760 is an abundant number, since it is smaller than the sum of its proper divisors (102270560).

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

47961760 is a wasteful number, since it uses less digits than its factorization.

47961760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 47961760 is about 6925.4429461227. The cubic root of 47961760 is about 363.3275836328.

It can be divided in two parts, 4796 and 1760, that added together give a palindrome (6556).

The spelling of 47961760 in words is "forty-seven million, nine hundred sixty-one thousand, seven hundred sixty".