1024873920 has 336 divisors, whose sum is σ = 4170029760. Its totient is φ = 226050048.

The previous prime is 1024873877. The next prime is 1024873921. The reversal of 1024873920 is 293784201.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024873921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 583764 + ... + 585516.

Almost surely, 2^1024873920 is an apocalyptic number.

1024873920 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 1024873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085014880).

1024873920 is an abundant number, since it is smaller than the sum of its proper divisors (3145155840).

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

1024873920 is a wasteful number, since it uses less digits than its factorization.

1024873920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1024873920 is about 32013.6520878203. The cubic root of 1024873920 is about 1008.2234954161.

The spelling of 1024873920 in words is "one billion, twenty-four million, eight hundred seventy-three thousand, nine hundred twenty".