48343680 has 384 divisors, whose sum is σ = 210038400. Its totient is φ = 9953280.

The previous prime is 48343637. The next prime is 48343697. The reversal of 48343680 is 8634384.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×48343680² = 4674222791884800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 443466 + ... + 443574.

It is an arithmetic number, because the mean of its divisors is an integer number (546975).

Almost surely, 2^48343680 is an apocalyptic number.

48343680 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 48343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105019200).

48343680 is an abundant number, since it is smaller than the sum of its proper divisors (161694720).

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

48343680 is a wasteful number, since it uses less digits than its factorization.

48343680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 48343680 is about 6952.9619587626. The cubic root of 48343680 is about 364.2894288631.

The spelling of 48343680 in words is "forty-eight million, three hundred forty-three thousand, six hundred eighty".