52638000 has 160 divisors (see below), whose sum is σ = 175798272. Its totient is φ = 13536000.

The previous prime is 52637989. The next prime is 52638011. The reversal of 52638000 is 83625.

It is an interprime number because it is at equal distance from previous prime (52637989) and next prime (52638011).

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

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, 185859 + ... + 186141.

Almost surely, 2^52638000 is an apocalyptic number.

52638000 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 52638000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87899136).

52638000 is an abundant number, since it is smaller than the sum of its proper divisors (123160272).

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

52638000 is a wasteful number, since it uses less digits than its factorization.

52638000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 52638000 is about 7255.2050281160. The cubic root of 52638000 is about 374.7714162491.

The spelling of 52638000 in words is "fifty-two million, six hundred thirty-eight thousand".