1124910864 has 360 divisors, whose sum is σ = 4136985216. Its totient is φ = 278784000.

The previous prime is 1124910863. The next prime is 1124910877. The reversal of 1124910864 is 4680194211.

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

It is not an unprimeable number, because it can be changed into a prime (1124910863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2805064 + ... + 2805464.

Almost surely, 2^1124910864 is an apocalyptic number.

1124910864 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 1124910864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068492608).

1124910864 is an abundant number, since it is smaller than the sum of its proper divisors (3012074352).

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

1124910864 is a wasteful number, since it uses less digits than its factorization.

1124910864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1124910864 is about 33539.6908751408. The cubic root of 1124910864 is about 1040.0144426002.

The spelling of 1124910864 in words is "one billion, one hundred twenty-four million, nine hundred ten thousand, eight hundred sixty-four".