1248223680 has 504 divisors, whose sum is σ = 4957675632. Its totient is φ = 285696000.

The previous prime is 1248223679. The next prime is 1248223687. The reversal of 1248223680 is 863228421.

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 (1248223687) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30444460 + ... + 30444500.

It is an arithmetic number, because the mean of its divisors is an integer number (9836658).

Almost surely, 2^1248223680 is an apocalyptic number.

1248223680 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 1248223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478837816).

1248223680 is an abundant number, since it is smaller than the sum of its proper divisors (3709451952).

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

1248223680 is a wasteful number, since it uses less digits than its factorization.

1248223680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1248223680 is about 35330.2091700573. The cubic root of 1248223680 is about 1076.7068410641.

The spelling of 1248223680 in words is "one billion, two hundred forty-eight million, two hundred twenty-three thousand, six hundred eighty".