80648064 has 192 divisors, whose sum is σ = 270822240. Its totient is φ = 22560768.

The previous prime is 80648063. The next prime is 80648069. The reversal of 80648064 is 46084608.

80648064 is a `hidden beast` number, since 8 + 0 + 648 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×80648064² = 13008220453896192, which contains 22 as substring.

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 (80648063) 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, 588604 + ... + 588740.

Almost surely, 2^80648064 is an apocalyptic number.

80648064 is a gapful number since it is divisible by the number (84) 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 80648064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135411120).

80648064 is an abundant number, since it is smaller than the sum of its proper divisors (190174176).

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

80648064 is a wasteful number, since it uses less digits than its factorization.

80648064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 222 counting only the distinct ones).

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

The square root of 80648064 is about 8980.4267159195. The cubic root of 80648064 is about 432.0473199194.

The spelling of 80648064 in words is "eighty million, six hundred forty-eight thousand, sixty-four".