246752064 has 168 divisors, whose sum is σ = 786985472. Its totient is φ = 73405440.

The previous prime is 246752057. The next prime is 246752081. The reversal of 246752064 is 460257642.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231597 + ... + 232659.

Almost surely, 2^246752064 is an apocalyptic number.

246752064 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 246752064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393492736).

246752064 is an abundant number, since it is smaller than the sum of its proper divisors (540233408).

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

246752064 is a wasteful number, since it uses less digits than its factorization.

246752064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 246752064 is about 15708.3437701115. The cubic root of 246752064 is about 627.2205294023.

The spelling of 246752064 in words is "two hundred forty-six million, seven hundred fifty-two thousand, sixty-four".