5196960 has 120 divisors (see below), whose sum is σ = 18386676. Its totient is φ = 1382400.

The previous prime is 5196953. The next prime is 5196973. The reversal of 5196960 is 696915.

It can be written as a sum of positive squares in 2 ways, for example, as 4822416 + 374544 = 2196^2 + 612^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12760 + ... + 13160.

Almost surely, 2^5196960 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 5196960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9193338).

5196960 is an abundant number, since it is smaller than the sum of its proper divisors (13189716).

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

5196960 is a wasteful number, since it uses less digits than its factorization.

5196960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 5196960 is about 2279.6841886542. The cubic root of 5196960 is about 173.2140533731.

The spelling of 5196960 in words is "five million, one hundred ninety-six thousand, nine hundred sixty".