1124406864 has 120 divisors (see below), whose sum is σ = 3650212800. Its totient is φ = 316445184.

The previous prime is 1124406851. The next prime is 1124406883. The reversal of 1124406864 is 4686044211.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59212 + ... + 75860.

It is an arithmetic number, because the mean of its divisors is an integer number (30418440).

Almost surely, 2^1124406864 is an apocalyptic number.

1124406864 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 1124406864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825106400).

1124406864 is an abundant number, since it is smaller than the sum of its proper divisors (2525805936).

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

1124406864 is a wasteful number, since it uses less digits than its factorization.

1124406864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16737 (or 16728 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1124406864 is about 33532.1765473105. The cubic root of 1124406864 is about 1039.8590982682.

The spelling of 1124406864 in words is "one billion, one hundred twenty-four million, four hundred six thousand, eight hundred sixty-four".