65612000 has 96 divisors (see below), whose sum is σ = 165110400. Its totient is φ = 25612800.

The previous prime is 65611979. The next prime is 65612003. The reversal of 65612000 is 21656.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65612003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187826 + ... + 188174.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 2^65612000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

65612000 is an abundant number, since it is smaller than the sum of its proper divisors (99498400).

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

65612000 is a wasteful number, since it uses less digits than its factorization.

65612000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 65612000 is about 8100.1234558493. The cubic root of 65612000 is about 403.3305253696.

Adding to 65612000 its reverse (21656), we get a palindrome (65633656).

The spelling of 65612000 in words is "sixty-five million, six hundred twelve thousand".