248036608 has 72 divisors (see below), whose sum is σ = 512255016. Its totient is φ = 119808000.

The previous prime is 248036597. The next prime is 248036609. The reversal of 248036608 is 806630842.

248036608 is digitally balanced in base 3, 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 4 ways, for example, as 48888064 + 199148544 = 6992^2 + 14112^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248036609) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1370278 + ... + 1370458.

It is an arithmetic number, because the mean of its divisors is an integer number (7114653).

Almost surely, 2^248036608 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 248036608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256127508).

248036608 is an abundant number, since it is smaller than the sum of its proper divisors (264218408).

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

248036608 is a wasteful number, since it uses less digits than its factorization.

248036608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 248036608 is about 15749.1780102963. The cubic root of 248036608 is about 628.3070428452.

The spelling of 248036608 in words is "two hundred forty-eight million, thirty-six thousand, six hundred eight".