65874240 has 168 divisors, whose sum is σ = 230017320. Its totient is φ = 17301504.

The previous prime is 65874233. The next prime is 65874247. The reversal of 65874240 is 4247856.

It is an interprime number because it is at equal distance from previous prime (65874233) and next prime (65874247).

It can be written as a sum of positive squares in 4 ways, for example, as 14379264 + 51494976 = 3792^2 + 7176^2 .

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 = 65874195 and 65874204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65874247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256192 + ... + 256448.

Almost surely, 2^65874240 is an apocalyptic number.

65874240 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 65874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115008660).

65874240 is an abundant number, since it is smaller than the sum of its proper divisors (164143080).

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

65874240 is a wasteful number, since it uses less digits than its factorization.

65874240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 65874240 is about 8116.2947211150. The cubic root of 65874240 is about 403.8671588865.

The spelling of 65874240 in words is "sixty-five million, eight hundred seventy-four thousand, two hundred forty".