961496064 has 297 divisors, whose sum is σ = 3112608837. Its totient is φ = 285769728.

The previous prime is 961496059. The next prime is 961496099. The reversal of 961496064 is 460694169.

The square root of 961496064 is 31008.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 748569600 + 212926464 = 27360^2 + 14592^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 50605047 + ... + 50605065.

Almost surely, 2^961496064 is an apocalyptic number.

961496064 is the 31008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961496064

961496064 is an abundant number, since it is smaller than the sum of its proper divisors (2151112773).

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

961496064 is a wasteful number, since it uses less digits than its factorization.

961496064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The cubic root of 961496064 is about 986.9970097500.

It can be divided in two parts, 961 and 496064, that added together give a square (497025 = 705²).

The spelling of 961496064 in words is "nine hundred sixty-one million, four hundred ninety-six thousand, sixty-four".