1248952320 has 576 divisors, whose sum is σ = 5438880720. Its totient is φ = 259522560.

The previous prime is 1248952303. The next prime is 1248952321. The reversal of 1248952320 is 232598421.

It is a happy number.

1248952320 is a `hidden beast` number, since 1 + 248 + 95 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1248952321) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 113541115 + ... + 113541125.

Almost surely, 2^1248952320 is an apocalyptic number.

1248952320 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 1248952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719440360).

1248952320 is an abundant number, since it is smaller than the sum of its proper divisors (4189928400).

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

1248952320 is an equidigital number, since it uses as much as digits as its factorization.

1248952320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1248952320 is about 35340.5195207994. The cubic root of 1248952320 is about 1076.9163064776.

The spelling of 1248952320 in words is "one billion, two hundred forty-eight million, nine hundred fifty-two thousand, three hundred twenty".