51158624 has 96 divisors (see below), whose sum is σ = 117573120. Its totient is φ = 21683200.

The previous prime is 51158617. The next prime is 51158641. The reversal of 51158624 is 42685115.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 574772 + ... + 574860.

It is an arithmetic number, because the mean of its divisors is an integer number (1224720).

Almost surely, 2^51158624 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 51158624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58786560).

51158624 is an abundant number, since it is smaller than the sum of its proper divisors (66414496).

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

51158624 is a wasteful number, since it uses less digits than its factorization.

51158624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 196 counting only the distinct ones).

The product of its digits is 9600, while the sum is 32.

The square root of 51158624 is about 7152.5257077483. The cubic root of 51158624 is about 371.2270534930.

The spelling of 51158624 in words is "fifty-one million, one hundred fifty-eight thousand, six hundred twenty-four".