51948624 has 120 divisors (see below), whose sum is σ = 168218400. Its totient is φ = 13692672.

The previous prime is 51948623. The next prime is 51948661. The reversal of 51948624 is 42684915.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51948623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29727 + ... + 31425.

It is an arithmetic number, because the mean of its divisors is an integer number (1401820).

Almost surely, 2^51948624 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 51948624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84109200).

51948624 is an abundant number, since it is smaller than the sum of its proper divisors (116269776).

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

51948624 is a wasteful number, since it uses less digits than its factorization.

51948624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1724 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 51948624 is about 7207.5393859486. The cubic root of 51948624 is about 373.1281511424.

The spelling of 51948624 in words is "fifty-one million, nine hundred forty-eight thousand, six hundred twenty-four".