963949536 has 144 divisors (see below), whose sum is σ = 3013618608. Its totient is φ = 289843200.

The previous prime is 963949529. The next prime is 963949541. The reversal of 963949536 is 635949369.

963949536 is a `hidden beast` number, since 9 + 63 + 9 + 49 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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, 432906 + ... + 435126.

It is an arithmetic number, because the mean of its divisors is an integer number (20927907).

Almost surely, 2^963949536 is an apocalyptic number.

963949536 is a gapful number since it is divisible by the number (96) 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 963949536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506809304).

963949536 is an abundant number, since it is smaller than the sum of its proper divisors (2049669072).

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

963949536 is a wasteful number, since it uses less digits than its factorization.

963949536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2385 (or 2374 counting only the distinct ones).

The product of its digits is 4723920, while the sum is 54.

The square root of 963949536 is about 31047.5367138844. The cubic root of 963949536 is about 987.8358111443.

The spelling of 963949536 in words is "nine hundred sixty-three million, nine hundred forty-nine thousand, five hundred thirty-six".