1960254816 has 96 divisors (see below), whose sum is σ = 5556727008. Its totient is φ = 601497600.

The previous prime is 1960254811. The next prime is 1960254827. The reversal of 1960254816 is 6184520691.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1960254811) 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, 498490 + ... + 502406.

It is an arithmetic number, because the mean of its divisors is an integer number (57882573).

Almost surely, 2^1960254816 is an apocalyptic number.

1960254816 is a gapful number since it is divisible by the number (16) 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 1960254816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778363504).

1960254816 is an abundant number, since it is smaller than the sum of its proper divisors (3596472192).

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

1960254816 is a wasteful number, since it uses less digits than its factorization.

1960254816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4344 (or 4336 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 1960254816 is about 44274.7650021996. The cubic root of 1960254816 is about 1251.5191803382.

The spelling of 1960254816 in words is "one billion, nine hundred sixty million, two hundred fifty-four thousand, eight hundred sixteen".