65906460 has 144 divisors (see below), whose sum is σ = 211341312. Its totient is φ = 17236800.

The previous prime is 65906443. The next prime is 65906471. The reversal of 65906460 is 6460956.

It is a happy number.

65906460 is a `hidden beast` number, since 6 + 5 + 9 + 0 + 646 + 0 = 666.

It is a super-2 number, since 2×65906460² = 8687322939463200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 344965 + ... + 345155.

It is an arithmetic number, because the mean of its divisors is an integer number (1467648).

Almost surely, 2^65906460 is an apocalyptic number.

65906460 is a gapful number since it is divisible by the number (60) 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 65906460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105670656).

65906460 is an abundant number, since it is smaller than the sum of its proper divisors (145434852).

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

65906460 is a wasteful number, since it uses less digits than its factorization.

65906460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 65906460 is about 8118.2793743502. The cubic root of 65906460 is about 403.9329938213.

It can be divided in two parts, 65906 and 460, that added together give a palindrome (66366).

The spelling of 65906460 in words is "sixty-five million, nine hundred six thousand, four hundred sixty".