1021661424 has 320 divisors, whose sum is σ = 3507553280. Its totient is φ = 282175488.

The previous prime is 1021661401. The next prime is 1021661441. The reversal of 1021661424 is 4241661201.

1021661424 is a `hidden beast` number, since 1 + 0 + 21 + 6 + 614 + 24 = 666.

1021661424 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 (27).

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, 10532544 + ... + 10532640.

It is an arithmetic number, because the mean of its divisors is an integer number (10961104).

Almost surely, 2^1021661424 is an apocalyptic number.

1021661424 is a gapful number since it is divisible by the number (14) 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 1021661424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753776640).

1021661424 is an abundant number, since it is smaller than the sum of its proper divisors (2485891856).

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

1021661424 is an frugal number, since it uses more digits than its factorization.

1021661424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1021661424 is about 31963.4388638019. The cubic root of 1021661424 is about 1007.1689578957.

The spelling of 1021661424 in words is "one billion, twenty-one million, six hundred sixty-one thousand, four hundred twenty-four".