53342016 has 224 divisors, whose sum is σ = 180246528. Its totient is φ = 13547520.

The previous prime is 53341997. The next prime is 53342017. The reversal of 53342016 is 61024335.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×53342016³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53342017) 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, 751261 + ... + 751331.

It is an arithmetic number, because the mean of its divisors is an integer number (804672).

Almost surely, 2^53342016 is an apocalyptic number.

53342016 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 53342016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90123264).

53342016 is an abundant number, since it is smaller than the sum of its proper divisors (126904512).

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

53342016 is a wasteful number, since it uses less digits than its factorization.

53342016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 53342016 is about 7303.5618707587. The cubic root of 53342016 is about 376.4348371994.

The spelling of 53342016 in words is "fifty-three million, three hundred forty-two thousand, sixteen".