248151640 has 128 divisors (see below), whose sum is σ = 632448000. Its totient is φ = 87584640.

The previous prime is 248151619. The next prime is 248151649. The reversal of 248151640 is 46151842.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248151649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3141121 + ... + 3141199.

It is an arithmetic number, because the mean of its divisors is an integer number (4941000).

Almost surely, 2^248151640 is an apocalyptic number.

248151640 is a gapful number since it is divisible by the number (20) 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 248151640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316224000).

248151640 is an abundant number, since it is smaller than the sum of its proper divisors (384296360).

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

248151640 is a wasteful number, since it uses less digits than its factorization.

248151640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 248151640 is about 15752.8295870932. The cubic root of 248151640 is about 628.4041578721.

The spelling of 248151640 in words is "two hundred forty-eight million, one hundred fifty-one thousand, six hundred forty".