1021670820 has 120 divisors (see below), whose sum is σ = 3213511224. Its totient is φ = 271724544.

The previous prime is 1021670809. The next prime is 1021670849. The reversal of 1021670820 is 280761201.

1021670820 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 728028324 + 293642496 = 26982^2 + 17136^2 .

It is a super-2 number, since 2×1021670820² = 2087622528878944800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 934194 + ... + 935286.

Almost surely, 2^1021670820 is an apocalyptic number.

1021670820 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 1021670820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606755612).

1021670820 is an abundant number, since it is smaller than the sum of its proper divisors (2191840404).

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

1021670820 is a wasteful number, since it uses less digits than its factorization.

1021670820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1021670820 is about 31963.5858438943. The cubic root of 1021670820 is about 1007.1720454582.

The spelling of 1021670820 in words is "one billion, twenty-one million, six hundred seventy thousand, eight hundred twenty".