47761560 has 192 divisors, whose sum is σ = 193639680. Its totient is φ = 9918720.

The previous prime is 47761537. The next prime is 47761601. The reversal of 47761560 is 6516774.

It is a super-2 number, since 2×47761560² = 4562333227267200, which contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26859 + ... + 28581.

It is an arithmetic number, because the mean of its divisors is an integer number (1008540).

Almost surely, 2^47761560 is an apocalyptic number.

47761560 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 47761560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96819840).

47761560 is an abundant number, since it is smaller than the sum of its proper divisors (145878120).

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

47761560 is a wasteful number, since it uses less digits than its factorization.

47761560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 47761560 is about 6910.9738821674. The cubic root of 47761560 is about 362.8213496073.

It can be divided in two parts, 4776 and 1560, that added together give a palindrome (6336).

The spelling of 47761560 in words is "forty-seven million, seven hundred sixty-one thousand, five hundred sixty".