65579640 has 192 divisors, whose sum is σ = 241315200. Its totient is φ = 14176512.

The previous prime is 65579639. The next prime is 65579641. The reversal of 65579640 is 4697556.

It is an interprime number because it is at equal distance from previous prime (65579639) and next prime (65579641).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 65579592 and 65579601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65579641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111427 + ... + 112013.

It is an arithmetic number, because the mean of its divisors is an integer number (1256850).

Almost surely, 2^65579640 is an apocalyptic number.

65579640 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 65579640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120657600).

65579640 is an abundant number, since it is smaller than the sum of its proper divisors (175735560).

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

65579640 is a wasteful number, since it uses less digits than its factorization.

65579640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 65579640 is about 8098.1257090761. The cubic root of 65579640 is about 403.2642065960.

The spelling of 65579640 in words is "sixty-five million, five hundred seventy-nine thousand, six hundred forty".