47669760 has 120 divisors (see below), whose sum is σ = 165173580. Its totient is φ = 12705792.

The previous prime is 47669749. The next prime is 47669771. The reversal of 47669760 is 6796674.

It is an interprime number because it is at equal distance from previous prime (47669749) and next prime (47669771).

It can be written as a sum of positive squares in 2 ways, for example, as 44515584 + 3154176 = 6672^2 + 1776^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22006 + ... + 24074.

Almost surely, 2^47669760 is an apocalyptic number.

47669760 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 47669760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82586790).

47669760 is an abundant number, since it is smaller than the sum of its proper divisors (117503820).

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

47669760 is a wasteful number, since it uses less digits than its factorization.

47669760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 47669760 is about 6904.3290767460. The cubic root of 47669760 is about 362.5887471970.

The spelling of 47669760 in words is "forty-seven million, six hundred sixty-nine thousand, seven hundred sixty".