1263415104 has 224 divisors, whose sum is σ = 4279392000. Its totient is φ = 358041600.

The previous prime is 1263415099. The next prime is 1263415117. The reversal of 1263415104 is 4015143621.

It is a happy number.

1263415104 is a `hidden beast` number, since 1 + 2 + 634 + 15 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1801954 + ... + 1802654.

Almost surely, 2^1263415104 is an apocalyptic number.

1263415104 is a gapful number since it is divisible by the number (14) 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 1263415104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139696000).

1263415104 is an abundant number, since it is smaller than the sum of its proper divisors (3015976896).

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

1263415104 is a wasteful number, since it uses less digits than its factorization.

1263415104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1263415104 is about 35544.5509747978. The cubic root of 1263415104 is about 1081.0572363148.

Adding to 1263415104 its reverse (4015143621), we get a palindrome (5278558725).

The spelling of 1263415104 in words is "one billion, two hundred sixty-three million, four hundred fifteen thousand, one hundred four".