1263248640 has 216 divisors, whose sum is σ = 4455327240. Its totient is φ = 330350592.

The previous prime is 1263248551. The next prime is 1263248647. The reversal of 1263248640 is 468423621.

1263248640 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 2 + 4 + 8 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 75481344 + 1187767296 = 8688^2 + 34464^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1263248595 and 1263248604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1263248647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 609526 + ... + 611594.

It is an arithmetic number, because the mean of its divisors is an integer number (20626515).

Almost surely, 2^1263248640 is an apocalyptic number.

1263248640 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 1263248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227663620).

1263248640 is an abundant number, since it is smaller than the sum of its proper divisors (3192078600).

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

1263248640 is a wasteful number, since it uses less digits than its factorization.

1263248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1263248640 is about 35542.2092729194. The cubic root of 1263248640 is about 1081.0097552150.

The spelling of 1263248640 in words is "one billion, two hundred sixty-three million, two hundred forty-eight thousand, six hundred forty".