1073817920 has 224 divisors, whose sum is σ = 3131198208. Its totient is φ = 342392832.

The previous prime is 1073817863. The next prime is 1073817931. The reversal of 1073817920 is 297183701.

1073817920 = T₄₉₈₄ + T₄₉₈₅ + ... + T₅₀₆₈.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6206954 + ... + 6207126.

Almost surely, 2^1073817920 is an apocalyptic number.

1073817920 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 1073817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565599104).

1073817920 is an abundant number, since it is smaller than the sum of its proper divisors (2057380288).

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

1073817920 is a wasteful number, since it uses less digits than its factorization.

1073817920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 38.

The square root of 1073817920 is about 32769.1611122409. The cubic root of 1073817920 is about 1024.0241896955.

The spelling of 1073817920 in words is "one billion, seventy-three million, eight hundred seventeen thousand, nine hundred twenty".