48690720 has 360 divisors, whose sum is σ = 196581924. Its totient is φ = 11280384.

The previous prime is 48690713. The next prime is 48690751. The reversal of 48690720 is 2709684.

48690720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 25765776 + 22924944 = 5076^2 + 4788^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2864152 + ... + 2864168.

Almost surely, 2^48690720 is an apocalyptic number.

48690720 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 48690720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98290962).

48690720 is an abundant number, since it is smaller than the sum of its proper divisors (147891204).

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

48690720 is a wasteful number, since it uses less digits than its factorization.

48690720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 48690720 is about 6977.8736016067. The cubic root of 48690720 is about 365.1590474679.

The spelling of 48690720 in words is "forty-eight million, six hundred ninety thousand, seven hundred twenty".