65983500 has 288 divisors, whose sum is σ = 239855616. Its totient is φ = 15120000.

The previous prime is 65983499. The next prime is 65983501. The reversal of 65983500 is 538956.

65983500 is a `hidden beast` number, since 65 + 98 + 3 + 500 = 666.

It is an interprime number because it is at equal distance from previous prime (65983499) and next prime (65983501).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65983501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1534479 + ... + 1534521.

It is an arithmetic number, because the mean of its divisors is an integer number (832832).

Almost surely, 2^65983500 is an apocalyptic number.

65983500 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 65983500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119927808).

65983500 is an abundant number, since it is smaller than the sum of its proper divisors (173872116).

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

65983500 is a wasteful number, since it uses less digits than its factorization.

65983500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 65983500 is about 8123.0228363584. The cubic root of 65983500 is about 404.0903222552.

The spelling of 65983500 in words is "sixty-five million, nine hundred eighty-three thousand, five hundred".