47662560 has 384 divisors, whose sum is σ = 195955200. Its totient is φ = 10690560.

The previous prime is 47662553. The next prime is 47662597. The reversal of 47662560 is 6526674.

47662560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 807811 + ... + 807869.

It is an arithmetic number, because the mean of its divisors is an integer number (510300).

Almost surely, 2^47662560 is an apocalyptic number.

47662560 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 47662560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97977600).

47662560 is an abundant number, since it is smaller than the sum of its proper divisors (148292640).

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

47662560 is a wasteful number, since it uses less digits than its factorization.

47662560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 47662560 is about 6903.8076450608. The cubic root of 47662560 is about 362.5704912459.

It can be divided in two parts, 476 and 62560, that added together give a palindrome (63036).

The spelling of 47662560 in words is "forty-seven million, six hundred sixty-two thousand, five hundred sixty".