65493504 has 120 divisors (see below), whose sum is σ = 192941892. Its totient is φ = 21381120.

The previous prime is 65493497. The next prime is 65493511. The reversal of 65493504 is 40539456.

It is a happy number.

65493504 is a `hidden beast` number, since 65 + 4 + 93 + 504 = 666.

It is an interprime number because it is at equal distance from previous prime (65493497) and next prime (65493511).

It can be written as a sum of positive squares in 2 ways, for example, as 52533504 + 12960000 = 7248^2 + 3600^2 .

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

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, 280972 + ... + 281204.

Almost surely, 2^65493504 is an apocalyptic number.

65493504 is a gapful number since it is divisible by the number (64) 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 65493504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96470946).

65493504 is an abundant number, since it is smaller than the sum of its proper divisors (127448388).

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

65493504 is a wasteful number, since it uses less digits than its factorization.

65493504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 65493504 is about 8092.8056939482. The cubic root of 65493504 is about 403.0875725844.

The spelling of 65493504 in words is "sixty-five million, four hundred ninety-three thousand, five hundred four".