1642968684 has 288 divisors, whose sum is σ = 5283532800. Its totient is φ = 436000320.

The previous prime is 1642968673. The next prime is 1642968713. The reversal of 1642968684 is 4868692461.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1642968684.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9178507 + ... + 9178685.

It is an arithmetic number, because the mean of its divisors is an integer number (18345600).

Almost surely, 2^1642968684 is an apocalyptic number.

1642968684 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 1642968684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641766400).

1642968684 is an abundant number, since it is smaller than the sum of its proper divisors (3640564116).

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

1642968684 is a wasteful number, since it uses less digits than its factorization.

1642968684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 281 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 1642968684 is about 40533.5501035870. The cubic root of 1642968684 is about 1179.9848422835.

The spelling of 1642968684 in words is "one billion, six hundred forty-two million, nine hundred sixty-eight thousand, six hundred eighty-four".