47937600 has 126 divisors (see below), whose sum is σ = 170432730. Its totient is φ = 12779520.

The previous prime is 47937583. The next prime is 47937601. The reversal of 47937600 is 673974.

47937600 is a `hidden beast` number, since 47 + 9 + 3 + 7 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1806336 + 46131264 = 1344^2 + 6792^2 .

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

It is not an unprimeable number, because it can be changed into a prime (47937601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12736 + ... + 16064.

Almost surely, 2^47937600 is an apocalyptic number.

47937600 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 47937600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85216365).

47937600 is an abundant number, since it is smaller than the sum of its proper divisors (122495130).

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

47937600 is a wasteful number, since it uses less digits than its factorization.

47937600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3357 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 47937600 is about 6923.6984336408. The cubic root of 47937600 is about 363.2665664894.

The spelling of 47937600 in words is "forty-seven million, nine hundred thirty-seven thousand, six hundred".