65405952 has 132 divisors (see below), whose sum is σ = 194153856. Its totient is φ = 21196800.

The previous prime is 65405929. The next prime is 65405983. The reversal of 65405952 is 25950456.

65405952 is a `hidden beast` number, since 65 + 4 + 0 + 595 + 2 = 666.

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

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, 433077 + ... + 433227.

Almost surely, 2^65405952 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 65405952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97076928).

65405952 is an abundant number, since it is smaller than the sum of its proper divisors (128747904).

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

65405952 is a wasteful number, since it uses less digits than its factorization.

65405952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 65405952 is about 8087.3946360988. The cubic root of 65405952 is about 402.9078760829.

The spelling of 65405952 in words is "sixty-five million, four hundred five thousand, nine hundred fifty-two".