51618336 has 96 divisors (see below), whose sum is σ = 168956928. Its totient is φ = 13405440.

The previous prime is 51618319. The next prime is 51618353. The reversal of 51618336 is 63381615.

It is an interprime number because it is at equal distance from previous prime (51618319) and next prime (51618353).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×51618336² = 5328905222817792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 51618297 and 51618306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3901 + ... + 10883.

It is an arithmetic number, because the mean of its divisors is an integer number (1759968).

Almost surely, 2^51618336 is an apocalyptic number.

51618336 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51618336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84478464).

51618336 is an abundant number, since it is smaller than the sum of its proper divisors (117338592).

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

51618336 is a wasteful number, since it uses less digits than its factorization.

51618336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7014 (or 7006 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 51618336 is about 7184.5901762035. The cubic root of 51618336 is about 372.3356895858.

The spelling of 51618336 in words is "fifty-one million, six hundred eighteen thousand, three hundred thirty-six".