51607104 has 112 divisors (see below), whose sum is σ = 146962368. Its totient is φ = 15925248.

The previous prime is 51607103. The next prime is 51607109. The reversal of 51607104 is 40170615.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (51607103) by changing a digit.

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, 316527 + ... + 316689.

It is an arithmetic number, because the mean of its divisors is an integer number (1312164).

Almost surely, 2^51607104 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 51607104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73481184).

51607104 is an abundant number, since it is smaller than the sum of its proper divisors (95355264).

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

51607104 is a wasteful number, since it uses less digits than its factorization.

51607104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 51607104 is about 7183.8084606983. The cubic root of 51607104 is about 372.3086812385.

Adding to 51607104 its reverse (40170615), we get a palindrome (91777719).

The spelling of 51607104 in words is "fifty-one million, six hundred seven thousand, one hundred four".