1689953000 has 64 divisors (see below), whose sum is σ = 4187149200. Its totient is φ = 636211200.

The previous prime is 1689952997. The next prime is 1689953021. The reversal of 1689953000 is 3599861.

It can be written as a sum of positive squares in 8 ways, for example, as 265494436 + 1424458564 = 16294^2 + 37742^2 .

It is a super-2 number, since 2×1689953000² = 5711882284418000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32705 + ... + 66704.

Almost surely, 2^1689953000 is an apocalyptic number.

1689953000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1689953000 is an abundant number, since it is smaller than the sum of its proper divisors (2497196200).

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

1689953000 is a wasteful number, since it uses less digits than its factorization.

1689953000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99447 (or 99433 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 41.

The square root of 1689953000 is about 41109.0379357143. The cubic root of 1689953000 is about 1191.1273829824.

The spelling of 1689953000 in words is "one billion, six hundred eighty-nine million, nine hundred fifty-three thousand".