963641400 has 192 divisors, whose sum is σ = 3076276320. Its totient is φ = 249446400.

The previous prime is 963641383. The next prime is 963641407. The reversal of 963641400 is 4146369.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (963641407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4135684 + ... + 4135916.

Almost surely, 2^963641400 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 963641400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538138160).

963641400 is an abundant number, since it is smaller than the sum of its proper divisors (2112634920).

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

963641400 is a wasteful number, since it uses less digits than its factorization.

963641400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 963641400 is about 31042.5739912141. The cubic root of 963641400 is about 987.7305427655.

Adding to 963641400 its reverse (4146369), we get a palindrome (967787769).

The spelling of 963641400 in words is "nine hundred sixty-three million, six hundred forty-one thousand, four hundred".