1063613824 has 128 divisors (see below), whose sum is σ = 2632089600. Its totient is φ = 416876544.

The previous prime is 1063613821. The next prime is 1063613833. The reversal of 1063613824 is 4283163601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1063613824² = 2262548733207805952, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1063613824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1063613821) 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, 1478937 + ... + 1479655.

It is an arithmetic number, because the mean of its divisors is an integer number (20563200).

Almost surely, 2^1063613824 is an apocalyptic number.

1063613824 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 1063613824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316044800).

1063613824 is an abundant number, since it is smaller than the sum of its proper divisors (1568475776).

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

1063613824 is a wasteful number, since it uses less digits than its factorization.

1063613824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 1063613824 is about 32613.0928309475. The cubic root of 1063613824 is about 1020.7702192221.

The spelling of 1063613824 in words is "one billion, sixty-three million, six hundred thirteen thousand, eight hundred twenty-four".