1248833820 has 96 divisors (see below), whose sum is σ = 3773887488. Its totient is φ = 306738432.

The previous prime is 1248833809. The next prime is 1248833891. The reversal of 1248833820 is 283388421.

1248833820 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425197 + ... + 428123.

It is an arithmetic number, because the mean of its divisors is an integer number (39311328).

Almost surely, 2^1248833820 is an apocalyptic number.

1248833820 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 1248833820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886943744).

1248833820 is an abundant number, since it is smaller than the sum of its proper divisors (2525053668).

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

1248833820 is a wasteful number, since it uses less digits than its factorization.

1248833820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3499 (or 3497 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 1248833820 is about 35338.8429352179. The cubic root of 1248833820 is about 1076.8822462986.

The spelling of 1248833820 in words is "one billion, two hundred forty-eight million, eight hundred thirty-three thousand, eight hundred twenty".