64088046 has 48 divisors (see below), whose sum is σ = 153773568. Its totient is φ = 19126800.

The previous prime is 64088041. The next prime is 64088047.

64088046 is a `hidden beast` number, since 640 + 8 + 8 + 0 + 4 + 6 = 666.

64088046 is nontrivially palindromic in base 10.

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 Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 64088046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64088041) 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, 10851 + ... + 15681.

It is an arithmetic number, because the mean of its divisors is an integer number (3203616).

Almost surely, 2^64088046 is an apocalyptic number.

64088046 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 64088046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76886784).

64088046 is an abundant number, since it is smaller than the sum of its proper divisors (89685522).

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

64088046 is a wasteful number, since it uses less digits than its factorization.

64088046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4917 (or 4914 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 64088046 is about 8005.5009836986. The cubic root of 64088046 is about 400.1833451152.

The spelling of 64088046 in words is "sixty-four million, eighty-eight thousand, forty-six".