48661536 has 192 divisors, whose sum is σ = 165473280. Its totient is φ = 12149760.

The previous prime is 48661523. The next prime is 48661553. The reversal of 48661536 is 63516684.

It is a junction number, because it is equal to n+sod(n) for n = 48661494 and 48661503.

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, 214255 + ... + 214481.

It is an arithmetic number, because the mean of its divisors is an integer number (861840).

Almost surely, 2^48661536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48661536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82736640).

48661536 is an abundant number, since it is smaller than the sum of its proper divisors (116811744).

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

48661536 is a wasteful number, since it uses less digits than its factorization.

48661536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 279 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 48661536 is about 6975.7821066888. The cubic root of 48661536 is about 365.0860771532.

The spelling of 48661536 in words is "forty-eight million, six hundred sixty-one thousand, five hundred thirty-six".