63958144 has 16 divisors (see below), whose sum is σ = 127416870. Its totient is φ = 31979008.

The previous prime is 63958127. The next prime is 63958187. The reversal of 63958144 is 44185936.

It can be written as a sum of positive squares in only one way, i.e., 59598400 + 4359744 = 7720^2 + 2088^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 63958097 and 63958106.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 249709 + ... + 249964.

Almost surely, 2^63958144 is an apocalyptic number.

63958144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

63958144 is a deficient number, since it is larger than the sum of its proper divisors (63458726).

63958144 is an equidigital number, since it uses as much as digits as its factorization.

63958144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499687 (or 499675 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The square root of 63958144 is about 7997.3835721441. The cubic root of 63958144 is about 399.9127809835.

The spelling of 63958144 in words is "sixty-three million, nine hundred fifty-eight thousand, one hundred forty-four".