1248824560 has 80 divisors (see below), whose sum is σ = 3061429056. Its totient is φ = 472817664.

The previous prime is 1248824527. The next prime is 1248824569. The reversal of 1248824560 is 654288421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1248824569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174982 + ... + 181978.

Almost surely, 2^1248824560 is an apocalyptic number.

1248824560 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 1248824560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530714528).

1248824560 is an abundant number, since it is smaller than the sum of its proper divisors (1812604496).

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

1248824560 is a wasteful number, since it uses less digits than its factorization.

1248824560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7130 (or 7124 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The square root of 1248824560 is about 35338.7119176690. The cubic root of 1248824560 is about 1076.8795846276.

The spelling of 1248824560 in words is "one billion, two hundred forty-eight million, eight hundred twenty-four thousand, five hundred sixty".