5961480 has 128 divisors (see below), whose sum is σ = 21012480. Its totient is φ = 1324800.

The previous prime is 5961463. The next prime is 5961481. The reversal of 5961480 is 841695.

5961480 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

5961480 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (5961481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39405 + ... + 39555.

It is an arithmetic number, because the mean of its divisors is an integer number (164160).

Almost surely, 2^5961480 is an apocalyptic number.

5961480 is the 1410-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5961480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10506240).

5961480 is an abundant number, since it is smaller than the sum of its proper divisors (15051000).

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

5961480 is a wasteful number, since it uses less digits than its factorization.

5961480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 5961480 is about 2441.6142201421. The cubic root of 5961480 is about 181.3223603270.

It can be divided in two parts, 5961 and 480, that added together give a triangular number (6441 = T₁₁₃).

The spelling of 5961480 in words is "five million, nine hundred sixty-one thousand, four hundred eighty".