52069600 has 144 divisors (see below), whose sum is σ = 142397136. Its totient is φ = 18432000.

The previous prime is 52069583. The next prime is 52069601. The reversal of 52069600 is 696025.

It is a super-2 number, since 2×52069600² = 5422486488320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52069601) 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, 536752 + ... + 536848.

It is an arithmetic number, because the mean of its divisors is an integer number (988869).

Almost surely, 2^52069600 is an apocalyptic number.

52069600 is a gapful number since it is divisible by the number (50) 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 52069600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71198568).

52069600 is an abundant number, since it is smaller than the sum of its proper divisors (90327536).

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

52069600 is a wasteful number, since it uses less digits than its factorization.

52069600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 52069600 is about 7215.9268288973. The cubic root of 52069600 is about 373.4175688609.

The spelling of 52069600 in words is "fifty-two million, sixty-nine thousand, six hundred".