1070521920 has 392 divisors, whose sum is σ = 4127683896. Its totient is φ = 262766592.

The previous prime is 1070521919. The next prime is 1070521967. The reversal of 1070521920 is 291250701.

It can be written as a sum of positive squares in 4 ways, for example, as 6718464 + 1063803456 = 2592^2 + 32616^2 .

It is a super-2 number, since 2×1070521920² = 2292034362400972800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3032464 + ... + 3032816.

Almost surely, 2^1070521920 is an apocalyptic number.

1070521920 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 1070521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063841948).

1070521920 is an abundant number, since it is smaller than the sum of its proper divisors (3057161976).

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

1070521920 is an equidigital number, since it uses as much as digits as its factorization.

1070521920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1070521920 is about 32718.8312749707. The cubic root of 1070521920 is about 1022.9753952167.

The spelling of 1070521920 in words is "one billion, seventy million, five hundred twenty-one thousand, nine hundred twenty".