64005948 has 72 divisors (see below), whose sum is σ = 169268736. Its totient is φ = 20368800.

The previous prime is 64005947. The next prime is 64005983. The reversal of 64005948 is 84950046.

64005948 is a `hidden beast` number, since 64 + 0 + 0 + 594 + 8 = 666.

It is a super-2 number, since 2×64005948² = 8193522758757408, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (64005943) 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, 92283 + ... + 92973.

Almost surely, 2^64005948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64005948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84634368).

64005948 is an abundant number, since it is smaller than the sum of its proper divisors (105262788).

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

64005948 is a wasteful number, since it uses less digits than its factorization.

64005948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 64005948 is about 8000.3717413630. The cubic root of 64005948 is about 400.0123912828.

The spelling of 64005948 in words is "sixty-four million, five thousand, nine hundred forty-eight".