63455436 has 72 divisors (see below), whose sum is σ = 182617344. Its totient is φ = 18390240.

The previous prime is 63455417. The next prime is 63455461.

63455436 is nontrivially palindromic in base 10.

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 63455436.

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, 5625 + ... + 12591.

It is an arithmetic number, because the mean of its divisors is an integer number (2536352).

Almost surely, 2^63455436 is an apocalyptic number.

63455436 is a gapful number since it is divisible by the number (66) 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 63455436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91308672).

63455436 is an abundant number, since it is smaller than the sum of its proper divisors (119161908).

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

63455436 is a wasteful number, since it uses less digits than its factorization.

63455436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7011 (or 7006 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 63455436 is about 7965.8920404434. The cubic root of 63455436 is about 398.8622585962.

It can be divided in two parts, 6345 and 5436, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 63455436 in words is "sixty-three million, four hundred fifty-five thousand, four hundred thirty-six".