1961736960 has 144 divisors (see below), whose sum is σ = 6303646944. Its totient is φ = 519929856.

The previous prime is 1961736949. The next prime is 1961736967. The reversal of 1961736960 is 696371691.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1961736967) 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, 662844 + ... + 665796.

It is an arithmetic number, because the mean of its divisors is an integer number (43775326).

Almost surely, 2^1961736960 is an apocalyptic number.

1961736960 is a gapful number since it is divisible by the number (10) 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 1961736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151823472).

1961736960 is an abundant number, since it is smaller than the sum of its proper divisors (4341909984).

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

1961736960 is a wasteful number, since it uses less digits than its factorization.

1961736960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3150 (or 3136 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 48.

The square root of 1961736960 is about 44291.4998617116. The cubic root of 1961736960 is about 1251.8345244323.

The spelling of 1961736960 in words is "one billion, nine hundred sixty-one million, seven hundred thirty-six thousand, nine hundred sixty".