961774400 has 84 divisors (see below), whose sum is σ = 2391349548. Its totient is φ = 380682240.

The previous prime is 961774397. The next prime is 961774403. The reversal of 961774400 is 4477169.

It is an interprime number because it is at equal distance from previous prime (961774397) and next prime (961774403).

It can be written as a sum of positive squares in 6 ways, for example, as 46348864 + 915425536 = 6808^2 + 30256^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961774403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152102 + ... + 158298.

It is an arithmetic number, because the mean of its divisors is an integer number (28468447).

Almost surely, 2^961774400 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 961774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195674774).

961774400 is an abundant number, since it is smaller than the sum of its proper divisors (1429575148).

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

961774400 is a wasteful number, since it uses less digits than its factorization.

961774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6316 (or 6301 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 961774400 is about 31012.4878073334. The cubic root of 961774400 is about 987.0922399181.

It can be divided in two parts, 961 and 774400, that multiplied together give a square (744198400 = 27280²).

The spelling of 961774400 in words is "nine hundred sixty-one million, seven hundred seventy-four thousand, four hundred".