51642360 has 448 divisors, whose sum is σ = 226644480. Its totient is φ = 10264320.

The previous prime is 51642341. The next prime is 51642401. The reversal of 51642360 is 6324615.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2245309 + ... + 2245331.

Almost surely, 2^51642360 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 51642360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113322240).

51642360 is an abundant number, since it is smaller than the sum of its proper divisors (175002120).

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

51642360 is a wasteful number, since it uses less digits than its factorization.

51642360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 51642360 is about 7186.2618933629. The cubic root of 51642360 is about 372.3934442905.

Adding to 51642360 its reverse (6324615), we get a palindrome (57966975).

It can be divided in two parts, 51 and 642360, that added together give a triangular number (642411 = T₁₁₃₃).

The spelling of 51642360 in words is "fifty-one million, six hundred forty-two thousand, three hundred sixty".