48634656 has 120 divisors (see below), whose sum is σ = 149640624. Its totient is φ = 13829760.

The previous prime is 48634639. The next prime is 48634669. The reversal of 48634656 is 65643684.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 230391 + ... + 230601.

Almost surely, 2^48634656 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 48634656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74820312).

48634656 is an abundant number, since it is smaller than the sum of its proper divisors (101005968).

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

48634656 is an equidigital number, since it uses as much as digits as its factorization.

48634656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 223 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 48634656 is about 6973.8551748656. The cubic root of 48634656 is about 365.0188418371.

Subtracting 48634656 from its reverse (65643684), we obtain a triangular number (17009028 = T₅₈₃₂).

It can be divided in two parts, 486 and 34656, that multiplied together give a square (16842816 = 4104²).

The spelling of 48634656 in words is "forty-eight million, six hundred thirty-four thousand, six hundred fifty-six".