248690016 has 72 divisors (see below), whose sum is σ = 710367840. Its totient is φ = 82526976.

The previous prime is 248689999. The next prime is 248690023. The reversal of 248690016 is 610096842.

248690016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 67026 + ... + 70638.

It is an arithmetic number, because the mean of its divisors is an integer number (9866220).

Almost surely, 2^248690016 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 248690016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355183920).

248690016 is an abundant number, since it is smaller than the sum of its proper divisors (461677824).

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

248690016 is a wasteful number, since it uses less digits than its factorization.

248690016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3868 (or 3857 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 248690016 is about 15769.9085602929. The cubic root of 248690016 is about 628.8582798574.

The spelling of 248690016 in words is "two hundred forty-eight million, six hundred ninety thousand, sixteen".