65216400 has 60 divisors (see below), whose sum is σ = 208913712. Its totient is φ = 17390720.

The previous prime is 65216399. The next prime is 65216413. The reversal of 65216400 is 461256.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25974 + ... + 28373.

Almost surely, 2^65216400 is an apocalyptic number.

65216400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

65216400 is an abundant number, since it is smaller than the sum of its proper divisors (143697312).

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

65216400 is a wasteful number, since it uses less digits than its factorization.

65216400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54368 (or 54357 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 65216400 is about 8075.6671551024. The cubic root of 65216400 is about 402.5182790716.

Adding to 65216400 its reverse (461256), we get a palindrome (65677656).

It can be divided in two parts, 6521 and 6400, that added together give a palindrome (12921).

The spelling of 65216400 in words is "sixty-five million, two hundred sixteen thousand, four hundred".