18695952 has 180 divisors, whose sum is σ = 61102860. Its totient is φ = 5322240.

The previous prime is 18695893. The next prime is 18695953. The reversal of 18695952 is 25959681.

It can be written as a sum of positive squares in 2 ways, for example, as 13660416 + 5035536 = 3696^2 + 2244^2 .

It is a junction number, because it is equal to n+sod(n) for n = 18695898 and 18695907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18695953) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 505278 + ... + 505314.

Almost surely, 2^18695952 is an apocalyptic number.

18695952 is a gapful number since it is divisible by the number (12) 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 18695952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30551430).

18695952 is an abundant number, since it is smaller than the sum of its proper divisors (42406908).

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

18695952 is a wasteful number, since it uses less digits than its factorization.

18695952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 82 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The square root of 18695952 is about 4323.8815894980. The cubic root of 18695952 is about 265.4091318730.

The spelling of 18695952 in words is "eighteen million, six hundred ninety-five thousand, nine hundred fifty-two".