48567680 has 128 divisors (see below), whose sum is σ = 136745280. Its totient is φ = 16146432.

The previous prime is 48567677. The next prime is 48567737. The reversal of 48567680 is 8676584.

It is a tau number, because it is divible by the number of its divisors (128).

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, 165614 + ... + 165906.

Almost surely, 2^48567680 is an apocalyptic number.

48567680 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 48567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68372640).

48567680 is an abundant number, since it is smaller than the sum of its proper divisors (88177600).

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

48567680 is a wasteful number, since it uses less digits than its factorization.

48567680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The square root of 48567680 is about 6969.0515854024. The cubic root of 48567680 is about 364.8512060058.

The spelling of 48567680 in words is "forty-eight million, five hundred sixty-seven thousand, six hundred eighty".