51677406 has 64 divisors (see below), whose sum is σ = 126489600. Its totient is φ = 15638040.

The previous prime is 51677383. The next prime is 51677407. The reversal of 51677406 is 60477615.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51677407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71515 + ... + 72233.

It is an arithmetic number, because the mean of its divisors is an integer number (1976400).

Almost surely, 2^51677406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51677406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63244800).

51677406 is an abundant number, since it is smaller than the sum of its proper divisors (74812194).

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

51677406 is a wasteful number, since it uses less digits than its factorization.

51677406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 51677406 is about 7188.6998824544. The cubic root of 51677406 is about 372.4776642314.

The spelling of 51677406 in words is "fifty-one million, six hundred seventy-seven thousand, four hundred six".