63787152 has 80 divisors (see below), whose sum is σ = 193612608. Its totient is φ = 17840640.

The previous prime is 63787133. The next prime is 63787177. The reversal of 63787152 is 25178736.

It is a super-2 number, since 2×63787152² = 8137601520542208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 63787152.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2218 + ... + 11510.

Almost surely, 2^63787152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63787152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96806304).

63787152 is an abundant number, since it is smaller than the sum of its proper divisors (129825456).

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

63787152 is a wasteful number, since it uses less digits than its factorization.

63787152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9328 (or 9322 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The square root of 63787152 is about 7986.6859209562. The cubic root of 63787152 is about 399.5560741736.

It can be divided in two parts, 6378 and 7152, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 63787152 in words is "sixty-three million, seven hundred eighty-seven thousand, one hundred fifty-two".