65940400 has 60 divisors (see below), whose sum is σ = 159210792. Its totient is φ = 26245120.

The previous prime is 65940383. The next prime is 65940419. The reversal of 65940400 is 404956.

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, 140967 + ... + 141433.

Almost surely, 2^65940400 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 65940400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79605396).

65940400 is an abundant number, since it is smaller than the sum of its proper divisors (93270392).

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

65940400 is a wasteful number, since it uses less digits than its factorization.

65940400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 65940400 is about 8120.3694497233. The cubic root of 65940400 is about 404.0023200207.

The spelling of 65940400 in words is "sixty-five million, nine hundred forty thousand, four hundred".