1020673920 has 384 divisors, whose sum is σ = 3990729600. Its totient is φ = 220631040.

The previous prime is 1020673903. The next prime is 1020674009. The reversal of 1020673920 is 293760201.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1787235 + ... + 1787805.

It is an arithmetic number, because the mean of its divisors is an integer number (10392525).

Almost surely, 2^1020673920 is an apocalyptic number.

1020673920 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 1020673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995364800).

1020673920 is an abundant number, since it is smaller than the sum of its proper divisors (2970055680).

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

1020673920 is a wasteful number, since it uses less digits than its factorization.

1020673920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 1020673920 is about 31947.9877300590. The cubic root of 1020673920 is about 1006.8443546017.

The spelling of 1020673920 in words is "one billion, twenty million, six hundred seventy-three thousand, nine hundred twenty".