53607312 has 160 divisors (see below), whose sum is σ = 174096000. Its totient is φ = 15644160.

The previous prime is 53607299. The next prime is 53607329. The reversal of 53607312 is 21370635.

It is a happy number.

53607312 is a `hidden beast` number, since 53 + 607 + 3 + 1 + 2 = 666.

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 31 ways as a sum of consecutive naturals, for example, 137614 + ... + 138002.

It is an arithmetic number, because the mean of its divisors is an integer number (1088100).

Almost surely, 2^53607312 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 53607312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87048000).

53607312 is an abundant number, since it is smaller than the sum of its proper divisors (120488688).

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

53607312 is a wasteful number, since it uses less digits than its factorization.

53607312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 53607312 is about 7321.7014416049. The cubic root of 53607312 is about 377.0578704606.

Adding to 53607312 its reverse (21370635), we get a palindrome (74977947).

The spelling of 53607312 in words is "fifty-three million, six hundred seven thousand, three hundred twelve".