64883520 has 168 divisors, whose sum is σ = 240478056. Its totient is φ = 15962112.

The previous prime is 64883519. The next prime is 64883521. The reversal of 64883520 is 2538846.

64883520 is a `hidden beast` number, since 648 + 8 + 3 + 5 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (64883519) and next prime (64883521).

It can be written as a sum of positive squares in 4 ways, for example, as 627264 + 64256256 = 792^2 + 8016^2 .

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 (64883521) 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, 36574 + ... + 38306.

It is an arithmetic number, because the mean of its divisors is an integer number (1431417).

Almost surely, 2^64883520 is an apocalyptic number.

64883520 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 64883520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120239028).

64883520 is an abundant number, since it is smaller than the sum of its proper divisors (175594536).

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

64883520 is a wasteful number, since it uses less digits than its factorization.

64883520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 64883520 is about 8055.0307261984. The cubic root of 64883520 is about 401.8322609016.

The spelling of 64883520 in words is "sixty-four million, eight hundred eighty-three thousand, five hundred twenty".