247976064 has 288 divisors, whose sum is σ = 870704640. Its totient is φ = 67415040.

The previous prime is 247976063. The next prime is 247976083. The reversal of 247976064 is 460679742.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×247976064² = 122984256633864192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247976063) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1298209 + ... + 1298399.

It is an arithmetic number, because the mean of its divisors is an integer number (3023280).

Almost surely, 2^247976064 is an apocalyptic number.

247976064 is a gapful number since it is divisible by the number (24) 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 247976064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435352320).

247976064 is an abundant number, since it is smaller than the sum of its proper divisors (622728576).

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

247976064 is a wasteful number, since it uses less digits than its factorization.

247976064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 247976064 is about 15747.2557609255. The cubic root of 247976064 is about 628.2559169013.

The spelling of 247976064 in words is "two hundred forty-seven million, nine hundred seventy-six thousand, sixty-four".