1688992074 has 360 divisors, whose sum is σ = 5190295968. Its totient is φ = 405155520.

The previous prime is 1688992073. The next prime is 1688992093. The reversal of 1688992074 is 4702998861.

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 1688992074.

It is not an unprimeable number, because it can be changed into a prime (1688992073) by changing a digit.

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 179 ways as a sum of consecutive naturals, for example, 58241092 + ... + 58241120.

Almost surely, 2^1688992074 is an apocalyptic number.

1688992074 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1688992074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2595147984).

1688992074 is an abundant number, since it is smaller than the sum of its proper divisors (3501303894).

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

1688992074 is a wasteful number, since it uses less digits than its factorization.

1688992074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 1688992074 is about 41097.3487466041. The cubic root of 1688992074 is about 1190.9015774361.

The spelling of 1688992074 in words is "one billion, six hundred eighty-eight million, nine hundred ninety-two thousand, seventy-four".