5959520 has 96 divisors (see below), whose sum is σ = 17091648. Its totient is φ = 1916928.

The previous prime is 5959519. The next prime is 5959543. The reversal of 5959520 is 259595.

5959520 = T₁₈₉ + T₁₉₀ + ... + T₃₄₈.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18884 + ... + 19196.

It is an arithmetic number, because the mean of its divisors is an integer number (178038).

Almost surely, 2^5959520 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 5959520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8545824).

5959520 is an abundant number, since it is smaller than the sum of its proper divisors (11132128).

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

5959520 is a wasteful number, since it uses less digits than its factorization.

5959520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 35.

The square root of 5959520 is about 2441.2128133368. The cubic root of 5959520 is about 181.3024865830.

It can be divided in two parts, 595 and 9520, that multiplied together give a square (5664400 = 2380²).

The spelling of 5959520 in words is "five million, nine hundred fifty-nine thousand, five hundred twenty".