51957984 has 192 divisors, whose sum is σ = 162570240. Its totient is φ = 14376960.

The previous prime is 51957979. The next prime is 51957991. The reversal of 51957984 is 48975915.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 657657 + ... + 657735.

It is an arithmetic number, because the mean of its divisors is an integer number (846720).

Almost surely, 2^51957984 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 51957984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81285120).

51957984 is an abundant number, since it is smaller than the sum of its proper divisors (110612256).

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

51957984 is a wasteful number, since it uses less digits than its factorization.

51957984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 145 counting only the distinct ones).

The product of its digits is 453600, while the sum is 48.

The square root of 51957984 is about 7208.1886767759. The cubic root of 51957984 is about 373.1505596266.

The spelling of 51957984 in words is "fifty-one million, nine hundred fifty-seven thousand, nine hundred eighty-four".