53400672 has 144 divisors (see below), whose sum is σ = 173365920. Its totient is φ = 15446016.

The previous prime is 53400671. The next prime is 53400673. The reversal of 53400672 is 27600435.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (53400671) and next prime (53400673).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53400671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63229 + ... + 64067.

It is an arithmetic number, because the mean of its divisors is an integer number (1203930).

Almost surely, 2^53400672 is an apocalyptic number.

53400672 is a gapful number since it is divisible by the number (52) 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 53400672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86682960).

53400672 is an abundant number, since it is smaller than the sum of its proper divisors (119965248).

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

53400672 is a wasteful number, since it uses less digits than its factorization.

53400672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 53400672 is about 7307.5763423997. The cubic root of 53400672 is about 376.5727652040.

The spelling of 53400672 in words is "fifty-three million, four hundred thousand, six hundred seventy-two".