963329040 has 120 divisors (see below), whose sum is σ = 3322709208. Its totient is φ = 249937920.

The previous prime is 963329023. The next prime is 963329053. The reversal of 963329040 is 40923369.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 407878416 + 555450624 = 20196^2 + 23568^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 963328986 and 963329004.

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, 8560 + ... + 44720.

Almost surely, 2^963329040 is an apocalyptic number.

963329040 is a gapful number since it is divisible by the number (90) 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 963329040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661354604).

963329040 is an abundant number, since it is smaller than the sum of its proper divisors (2359380168).

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

963329040 is a wasteful number, since it uses less digits than its factorization.

963329040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36217 (or 36208 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 963329040 is about 31037.5424284849. The cubic root of 963329040 is about 987.6238084366.

The spelling of 963329040 in words is "nine hundred sixty-three million, three hundred twenty-nine thousand, forty".