541878960 has 160 divisors (see below), whose sum is σ = 1966874112. Its totient is φ = 120821760.

The previous prime is 541878947. The next prime is 541878973. The reversal of 541878960 is 69878145.

It is an interprime number because it is at equal distance from previous prime (541878947) and next prime (541878973).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64947 + ... + 72813.

Almost surely, 2^541878960 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 541878960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983437056).

541878960 is an abundant number, since it is smaller than the sum of its proper divisors (1424995152).

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

541878960 is a wasteful number, since it uses less digits than its factorization.

541878960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7931 (or 7925 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 541878960 is about 23278.2937519054. The cubic root of 541878960 is about 815.2686883048.

The spelling of 541878960 in words is "five hundred forty-one million, eight hundred seventy-eight thousand, nine hundred sixty".