65198952 has 256 divisors, whose sum is σ = 232243200. Its totient is φ = 16485120.

The previous prime is 65198933. The next prime is 65198977. The reversal of 65198952 is 25989156.

65198952 is a `hidden beast` number, since 6 + 519 + 89 + 52 = 666.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 65198898 and 65198907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 609283 + ... + 609389.

It is an arithmetic number, because the mean of its divisors is an integer number (907200).

Almost surely, 2^65198952 is an apocalyptic number.

65198952 is a gapful number since it is divisible by the number (62) 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 65198952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116121600).

65198952 is an abundant number, since it is smaller than the sum of its proper divisors (167044248).

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

65198952 is a wasteful number, since it uses less digits than its factorization.

65198952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 163 counting only the distinct ones).

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

The square root of 65198952 is about 8074.5868005738. The cubic root of 65198952 is about 402.4823792808.

The spelling of 65198952 in words is "sixty-five million, one hundred ninety-eight thousand, nine hundred fifty-two".