53868192 has 96 divisors (see below), whose sum is σ = 170150400. Its totient is φ = 14577408.

The previous prime is 53868181. The next prime is 53868203. The reversal of 53868192 is 29186835.

It is an interprime number because it is at equal distance from previous prime (53868181) and next prime (53868203).

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

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 10659 + ... + 14877.

It is an arithmetic number, because the mean of its divisors is an integer number (1772400).

Almost surely, 2^53868192 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 53868192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85075200).

53868192 is an abundant number, since it is smaller than the sum of its proper divisors (116282208).

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

53868192 is a wasteful number, since it uses less digits than its factorization.

53868192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4258 (or 4250 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 53868192 is about 7339.4953504992. The cubic root of 53868192 is about 377.6685316817.

It can be divided in two parts, 53868 and 192, that multiplied together give a square (10342656 = 3216²).

The spelling of 53868192 in words is "fifty-three million, eight hundred sixty-eight thousand, one hundred ninety-two".