65874048 has 64 divisors (see below), whose sum is σ = 185289120. Its totient is φ = 20664320.

The previous prime is 65874043. The next prime is 65874049. The reversal of 65874048 is 84047856.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (65874043) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1483 + ... + 11573.

Almost surely, 2^65874048 is an apocalyptic number.

65874048 is a gapful number since it is divisible by the number (68) 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 65874048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92644560).

65874048 is an abundant number, since it is smaller than the sum of its proper divisors (119415072).

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

65874048 is a wasteful number, since it uses less digits than its factorization.

65874048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10125 (or 10113 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 65874048 is about 8116.2828930490. The cubic root of 65874048 is about 403.8667665097.

The spelling of 65874048 in words is "sixty-five million, eight hundred seventy-four thousand, forty-eight".