1124904960 has 312 divisors, whose sum is σ = 4140059040. Its totient is φ = 281542656.

The previous prime is 1124904959. The next prime is 1124904971. The reversal of 1124904960 is 694094211.

It is a happy number.

It is a super-2 number, since 2×1124904960² = 2530822338065203200, which contains 22 as substring.

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

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, 3133261 + ... + 3133619.

It is an arithmetic number, because the mean of its divisors is an integer number (13269420).

Almost surely, 2^1124904960 is an apocalyptic number.

1124904960 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 1124904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070029520).

1124904960 is an abundant number, since it is smaller than the sum of its proper divisors (3015154080).

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

1124904960 is a wasteful number, since it uses less digits than its factorization.

1124904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1124904960 is about 33539.6028599028. The cubic root of 1124904960 is about 1040.0126231209.

The spelling of 1124904960 in words is "one billion, one hundred twenty-four million, nine hundred four thousand, nine hundred sixty".