1020845376 has 448 divisors, whose sum is σ = 3511296000. Its totient is φ = 288645120.

The previous prime is 1020845369. The next prime is 1020845387. The reversal of 1020845376 is 6735480201.

1020845376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1020845376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17302435 + ... + 17302493.

Almost surely, 2^1020845376 is an apocalyptic number.

1020845376 is a gapful number since it is divisible by the number (16) 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 1020845376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755648000).

1020845376 is an abundant number, since it is smaller than the sum of its proper divisors (2490450624).

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

1020845376 is a wasteful number, since it uses less digits than its factorization.

1020845376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1020845376 is about 31950.6709788699. The cubic root of 1020845376 is about 1006.9007290673.

The spelling of 1020845376 in words is "one billion, twenty million, eight hundred forty-five thousand, three hundred seventy-six".