63246960 has 320 divisors, whose sum is σ = 257126400. Its totient is φ = 13989888.

The previous prime is 63246959. The next prime is 63246961. The reversal of 63246960 is 6964236.

63246960 = T₃₄₄ + T₃₄₅ + ... + T₇₄₈.

It is an interprime number because it is at equal distance from previous prime (63246959) and next prime (63246961).

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 (63246961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 710596 + ... + 710684.

It is an arithmetic number, because the mean of its divisors is an integer number (803520).

Almost surely, 2^63246960 is an apocalyptic number.

63246960 is a gapful number since it is divisible by the number (60) 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 63246960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128563200).

63246960 is an abundant number, since it is smaller than the sum of its proper divisors (193879440).

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

63246960 is a wasteful number, since it uses less digits than its factorization.

63246960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 63246960 is about 7952.7957348344. The cubic root of 63246960 is about 398.4249730318.

The spelling of 63246960 in words is "sixty-three million, two hundred forty-six thousand, nine hundred sixty".