47122560 has 224 divisors, whose sum is σ = 170573580. Its totient is φ = 12441600.

The previous prime is 47122547. The next prime is 47122567. The reversal of 47122560 is 6522174.

It can be written as a sum of positive squares in 2 ways, for example, as 44836416 + 2286144 = 6696^2 + 1512^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (47122567) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 466510 + ... + 466610.

Almost surely, 2^47122560 is an apocalyptic number.

47122560 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 47122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85286790).

47122560 is an abundant number, since it is smaller than the sum of its proper divisors (123451020).

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

47122560 is an equidigital number, since it uses as much as digits as its factorization.

47122560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 47122560 is about 6864.5873874545. The cubic root of 47122560 is about 361.1960220752.

The spelling of 47122560 in words is "forty-seven million, one hundred twenty-two thousand, five hundred sixty".