65673504 has 120 divisors (see below), whose sum is σ = 208107900. Its totient is φ = 20196864.

The previous prime is 65673493. The next prime is 65673511. The reversal of 65673504 is 40537656.

It can be written as a sum of positive squares in 2 ways, for example, as 65610000 + 63504 = 8100^2 + 252^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32722 + ... + 34670.

Almost surely, 2^65673504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65673504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104053950).

65673504 is an abundant number, since it is smaller than the sum of its proper divisors (142434396).

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

65673504 is a wasteful number, since it uses less digits than its factorization.

65673504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 65673504 is about 8103.9190519156. The cubic root of 65673504 is about 403.4565119450.

The spelling of 65673504 in words is "sixty-five million, six hundred seventy-three thousand, five hundred four".