48527640 has 256 divisors, whose sum is σ = 190080000. Its totient is φ = 11007360.

The previous prime is 48527627. The next prime is 48527657. The reversal of 48527640 is 4672584.

48527640 = 739² + 740² + ... + 818².

48527640 is a `hidden beast` number, since 4 + 8 + 5 + 2 + 7 + 640 = 666.

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

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 48527595 and 48527604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 370375 + ... + 370505.

It is an arithmetic number, because the mean of its divisors is an integer number (742500).

Almost surely, 2^48527640 is an apocalyptic number.

48527640 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 48527640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95040000).

48527640 is an abundant number, since it is smaller than the sum of its proper divisors (141552360).

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

48527640 is a wasteful number, since it uses less digits than its factorization.

48527640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 48527640 is about 6966.1782922920. The cubic root of 48527640 is about 364.7509153141.

The spelling of 48527640 in words is "forty-eight million, five hundred twenty-seven thousand, six hundred forty".