65961984 has 128 divisors (see below), whose sum is σ = 195032160. Its totient is φ = 19660800.

The previous prime is 65961983. The next prime is 65962003. The reversal of 65961984 is 48916956.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (65961983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1081314 + ... + 1081374.

Almost surely, 2^65961984 is an apocalyptic number.

65961984 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 65961984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97516080).

65961984 is an abundant number, since it is smaller than the sum of its proper divisors (129070176).

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

65961984 is an equidigital number, since it uses as much as digits as its factorization.

65961984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The square root of 65961984 is about 8121.6983445582. The cubic root of 65961984 is about 404.0463953514.

The spelling of 65961984 in words is "sixty-five million, nine hundred sixty-one thousand, nine hundred eighty-four".