63500400 has 180 divisors, whose sum is σ = 227872320. Its totient is φ = 16358400.

The previous prime is 63500387. The next prime is 63500407. The reversal of 63500400 is 400536.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63500407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 111316 + ... + 111884.

Almost surely, 2^63500400 is an apocalyptic number.

63500400 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 63500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113936160).

63500400 is an abundant number, since it is smaller than the sum of its proper divisors (164371920).

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

63500400 is a wasteful number, since it uses less digits than its factorization.

63500400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 63500400 is about 7968.7138234473. The cubic root of 63500400 is about 398.9564465246.

Adding to 63500400 its reverse (400536), we get a palindrome (63900936).

The spelling of 63500400 in words is "sixty-three million, five hundred thousand, four hundred".