47775960 has 128 divisors (see below), whose sum is σ = 164505600. Its totient is φ = 12320640.

The previous prime is 47775943. The next prime is 47775977. The reversal of 47775960 is 6957774.

It is an interprime number because it is at equal distance from previous prime (47775943) and next prime (47775977).

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

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, 32767 + ... + 34193.

It is an arithmetic number, because the mean of its divisors is an integer number (1285200).

Almost surely, 2^47775960 is an apocalyptic number.

47775960 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 47775960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82252800).

47775960 is an abundant number, since it is smaller than the sum of its proper divisors (116729640).

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

47775960 is a wasteful number, since it uses less digits than its factorization.

47775960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 47775960 is about 6912.0156249823. The cubic root of 47775960 is about 362.8578092096.

The spelling of 47775960 in words is "forty-seven million, seven hundred seventy-five thousand, nine hundred sixty".