1021642164 has 18 divisors (see below), whose sum is σ = 2582484450. Its totient is φ = 340547376.

The previous prime is 1021642163. The next prime is 1021642177. The reversal of 1021642164 is 4612461201.

1021642164 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 642 + 16 + 4 = 666.

1021642164 is digitally balanced in base 2, 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 only one way, i.e., 949256100 + 72386064 = 30810^2 + 8508^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1021642164² = 2087505422525205792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021642163) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14189439 + ... + 14189510.

Almost surely, 2^1021642164 is an apocalyptic number.

It is an amenable number.

1021642164 is an abundant number, since it is smaller than the sum of its proper divisors (1560842286).

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

1021642164 is a wasteful number, since it uses less digits than its factorization.

1021642164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28378959 (or 28378954 counting only the distinct ones).

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

The square root of 1021642164 is about 31963.1375806569. The cubic root of 1021642164 is about 1007.1626289248.

The spelling of 1021642164 in words is "one billion, twenty-one million, six hundred forty-two thousand, one hundred sixty-four".