1248895140 has 192 divisors, whose sum is σ = 3864526848. Its totient is φ = 299980800.

The previous prime is 1248895133. The next prime is 1248895159. The reversal of 1248895140 is 415988421.

It is a junction number, because it is equal to n+sod(n) for n = 1248895092 and 1248895101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4015585 + ... + 4015895.

It is an arithmetic number, because the mean of its divisors is an integer number (20127744).

Almost surely, 2^1248895140 is an apocalyptic number.

1248895140 is a gapful number since it is divisible by the number (10) 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 1248895140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932263424).

1248895140 is an abundant number, since it is smaller than the sum of its proper divisors (2615631708).

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

1248895140 is a wasteful number, since it uses less digits than its factorization.

1248895140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 1248895140 is about 35339.7105251302. The cubic root of 1248895140 is about 1076.8998716324.

The spelling of 1248895140 in words is "one billion, two hundred forty-eight million, eight hundred ninety-five thousand, one hundred forty".