48626016 has 96 divisors (see below), whose sum is σ = 137168640. Its totient is φ = 15035904.

The previous prime is 48625961. The next prime is 48626027. The reversal of 48626016 is 61062684.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96421 + ... + 96923.

It is an arithmetic number, because the mean of its divisors is an integer number (1428840).

Almost surely, 2^48626016 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 48626016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68584320).

48626016 is an abundant number, since it is smaller than the sum of its proper divisors (88542624).

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

48626016 is a wasteful number, since it uses less digits than its factorization.

48626016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 48626016 is about 6973.2356908397. The cubic root of 48626016 is about 364.9972252244.

It can be divided in two parts, 4862 and 6016, that added together give a triangular number (10878 = T₁₄₇).

The spelling of 48626016 in words is "forty-eight million, six hundred twenty-six thousand, sixteen".