63617652 has 72 divisors (see below), whose sum is σ = 188779136. Its totient is φ = 17682624.

The previous prime is 63617647. The next prime is 63617657. The reversal of 63617652 is 25671636.

63617652 is a `hidden beast` number, since 636 + 17 + 6 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (63617647) and next prime (63617657).

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 (63617657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5913 + ... + 12735.

Almost surely, 2^63617652 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 63617652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94389568).

63617652 is an abundant number, since it is smaller than the sum of its proper divisors (125161484).

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

63617652 is a wasteful number, since it uses less digits than its factorization.

63617652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6877 (or 6872 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 63617652 is about 7976.0674520719. The cubic root of 63617652 is about 399.2018501179.

The spelling of 63617652 in words is "sixty-three million, six hundred seventeen thousand, six hundred fifty-two".