63073296 has 160 divisors (see below), whose sum is σ = 212903040. Its totient is φ = 17625600.

The previous prime is 63073273. The next prime is 63073319. The reversal of 63073296 is 69237036.

63073296 is a nontrivial binomial coefficient, being equal to C(11232, 2).

It is an interprime number because it is at equal distance from previous prime (63073273) and next prime (63073319).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 63073296.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61266 + ... + 62286.

It is an arithmetic number, because the mean of its divisors is an integer number (1330644).

Almost surely, 2^63073296 is an apocalyptic number.

63073296 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

63073296 is the 11231-st triangular number and also the 5616-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63073296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106451520).

63073296 is an abundant number, since it is smaller than the sum of its proper divisors (149829744).

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

63073296 is a wasteful number, since it uses less digits than its factorization.

63073296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 63073296 is about 7941.8698050270. The cubic root of 63073296 is about 398.0599726129.

The spelling of 63073296 in words is "sixty-three million, seventy-three thousand, two hundred ninety-six".