65342400 has 84 divisors (see below), whose sum is σ = 214393272. Its totient is φ = 17423360.

The previous prime is 65342377. The next prime is 65342411. The reversal of 65342400 is 424356.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 2007 + ... + 11606.

Almost surely, 2^65342400 is an apocalyptic number.

65342400 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 65342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107196636).

65342400 is an abundant number, since it is smaller than the sum of its proper divisors (149050872).

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

65342400 is a wasteful number, since it uses less digits than its factorization.

65342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13638 (or 13623 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 65342400 is about 8083.4646037451. The cubic root of 65342400 is about 402.7773380186. Note that the first 3 decimals are identical.

Adding to 65342400 its reverse (424356), we get a palindrome (65766756).

It can be divided in two parts, 6534 and 2400, that multiplied together give a square (15681600 = 3960²).

The spelling of 65342400 in words is "sixty-five million, three hundred forty-two thousand, four hundred".