961973376 has 128 divisors (see below), whose sum is σ = 3145027200. Its totient is φ = 253698048.

The previous prime is 961973371. The next prime is 961973381. The reversal of 961973376 is 673379169.

It is an interprime number because it is at equal distance from previous prime (961973371) and next prime (961973381).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×961973376² = 1850785552265674752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (961973371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21180 + ... + 48708.

It is an arithmetic number, because the mean of its divisors is an integer number (24570525).

Almost surely, 2^961973376 is an apocalyptic number.

961973376 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 961973376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572513600).

961973376 is an abundant number, since it is smaller than the sum of its proper divisors (2183053824).

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

961973376 is a wasteful number, since it uses less digits than its factorization.

961973376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27566 (or 27554 counting only the distinct ones).

The product of its digits is 1285956, while the sum is 51.

The square root of 961973376 is about 31015.6956394662. The cubic root of 961973376 is about 987.1603065120.

The spelling of 961973376 in words is "nine hundred sixty-one million, nine hundred seventy-three thousand, three hundred seventy-six".