65016000 has 448 divisors, whose sum is σ = 278952960. Its totient is φ = 14515200.

The previous prime is 65015981. The next prime is 65016011. The reversal of 65016000 is 61056.

65016000 is a `hidden beast` number, since 65 + 0 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1511979 + ... + 1512021.

Almost surely, 2^65016000 is an apocalyptic number.

65016000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

65016000 is the 4032-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139476480).

65016000 is an abundant number, since it is smaller than the sum of its proper divisors (213936960).

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

65016000 is a wasteful number, since it uses less digits than its factorization.

65016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 65016000 is about 8063.2499651195. The cubic root of 65016000 is about 402.1055637227.

Adding to 65016000 its reverse (61056), we get a palindrome (65077056).

The spelling of 65016000 in words is "sixty-five million, sixteen thousand".