88200420 has 192 divisors, whose sum is σ = 326301696. Its totient is φ = 17233920.

The previous prime is 88200407. The next prime is 88200461. The reversal of 88200420 is 2400288.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77979 + ... + 79101.

It is an arithmetic number, because the mean of its divisors is an integer number (1699488).

Almost surely, 2^88200420 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 88200420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163150848).

88200420 is an abundant number, since it is smaller than the sum of its proper divisors (238101276).

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

88200420 is a wasteful number, since it uses less digits than its factorization.

88200420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 88200420 is about 9391.5078661523. The cubic root of 88200420 is about 445.1334363971.

The spelling of 88200420 in words is "eighty-eight million, two hundred thousand, four hundred twenty".