65058048 has 216 divisors, whose sum is σ = 218102976. Its totient is φ = 18432000.

The previous prime is 65058043. The next prime is 65058079. The reversal of 65058048 is 84085056.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65058041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 430773 + ... + 430923.

It is an arithmetic number, because the mean of its divisors is an integer number (1009736).

Almost surely, 2^65058048 is an apocalyptic number.

65058048 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 65058048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109051488).

65058048 is an abundant number, since it is smaller than the sum of its proper divisors (153044928).

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

65058048 is a wasteful number, since it uses less digits than its factorization.

65058048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 65058048 is about 8065.8569290560. The cubic root of 65058048 is about 402.1922300362.

The spelling of 65058048 in words is "sixty-five million, fifty-eight thousand, forty-eight".