248011632 has 140 divisors (see below), whose sum is σ = 786356664. Its totient is φ = 75116160.

The previous prime is 248011613. The next prime is 248011651. The reversal of 248011632 is 236110842.

248011632 is a `hidden beast` number, since 24 + 8 + 0 + 1 + 1 + 632 = 666.

248011632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (248011613) and next prime (248011651).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 248011596 and 248011605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 127338 + ... + 129270.

Almost surely, 2^248011632 is an apocalyptic number.

248011632 is a gapful number since it is divisible by the number (22) 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 248011632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393178332).

248011632 is an abundant number, since it is smaller than the sum of its proper divisors (538345032).

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

248011632 is a wasteful number, since it uses less digits than its factorization.

248011632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 248011632 is about 15748.3850600625. The cubic root of 248011632 is about 628.2859530504.

The spelling of 248011632 in words is "two hundred forty-eight million, eleven thousand, six hundred thirty-two".