541626624 has 432 divisors, whose sum is σ = 2020322304. Its totient is φ = 135475200.

The previous prime is 541626619. The next prime is 541626629. The reversal of 541626624 is 426626145.

541626624 is a `hidden beast` number, since 5 + 4 + 1 + 6 + 26 + 624 = 666.

It is an interprime number because it is at equal distance from previous prime (541626619) and next prime (541626629).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541626629) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7628509 + ... + 7628579.

It is an arithmetic number, because the mean of its divisors is an integer number (4676672).

Almost surely, 2^541626624 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 541626624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010161152).

541626624 is an abundant number, since it is smaller than the sum of its proper divisors (1478695680).

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

541626624 is a wasteful number, since it uses less digits than its factorization.

541626624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 137 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 541626624 is about 23272.8731359065. The cubic root of 541626624 is about 815.1421203220.

The spelling of 541626624 in words is "five hundred forty-one million, six hundred twenty-six thousand, six hundred twenty-four".