65667240 has 128 divisors (see below), whose sum is σ = 224380800. Its totient is φ = 17072640.

The previous prime is 65667233. The next prime is 65667253. The reversal of 65667240 is 4276656.

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

It is a junction number, because it is equal to n+sod(n) for n = 65667195 and 65667204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43539 + ... + 45021.

It is an arithmetic number, because the mean of its divisors is an integer number (1752975).

Almost surely, 2^65667240 is an apocalyptic number.

65667240 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 65667240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112190400).

65667240 is an abundant number, since it is smaller than the sum of its proper divisors (158713560).

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

65667240 is a wasteful number, since it uses less digits than its factorization.

65667240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 65667240 is about 8103.5325630246. The cubic root of 65667240 is about 403.4436841845.

It can be divided in two parts, 656 and 67240, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 65667240 in words is "sixty-five million, six hundred sixty-seven thousand, two hundred forty".