5968050 has 48 divisors (see below), whose sum is σ = 16150752. Its totient is φ = 1446400.

The previous prime is 5968049. The next prime is 5968051. The reversal of 5968050 is 508695.

It is an interprime number because it is at equal distance from previous prime (5968049) and next prime (5968051).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5968051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159 + ... + 3458.

It is an arithmetic number, because the mean of its divisors is an integer number (336474).

Almost surely, 2^5968050 is an apocalyptic number.

5968050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5968050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8075376).

5968050 is an abundant number, since it is smaller than the sum of its proper divisors (10182702).

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

5968050 is a wasteful number, since it uses less digits than its factorization.

5968050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3643 (or 3638 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 5968050 is about 2442.9592710481. The cubic root of 5968050 is about 181.3889461717.

It can be divided in two parts, 596 and 8050, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 5968050 in words is "five million, nine hundred sixty-eight thousand, fifty".