65193984 has 144 divisors (see below), whose sum is σ = 196756560. Its totient is φ = 21565440.

The previous prime is 65193941. The next prime is 65194007. The reversal of 65193984 is 48939156.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 497599 + ... + 497729.

It is an arithmetic number, because the mean of its divisors is an integer number (1366365).

Almost surely, 2^65193984 is an apocalyptic number.

65193984 is a gapful number since it is divisible by the number (64) 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 65193984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98378280).

65193984 is an abundant number, since it is smaller than the sum of its proper divisors (131562576).

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

65193984 is an equidigital number, since it uses as much as digits as its factorization.

65193984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 136 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 65193984 is about 8074.2791628727. The cubic root of 65193984 is about 402.4721562983.

The spelling of 65193984 in words is "sixty-five million, one hundred ninety-three thousand, nine hundred eighty-four".