88413120 has 196 divisors, whose sum is σ = 316489080. Its totient is φ = 23514624.

The previous prime is 88413109. The next prime is 88413131. The reversal of 88413120 is 2131488.

It is an interprime number because it is at equal distance from previous prime (88413109) and next prime (88413131).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 233091 + ... + 233469.

Almost surely, 2^88413120 is an apocalyptic number.

88413120 is a gapful number since it is divisible by the number (80) 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 88413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158244540).

88413120 is an abundant number, since it is smaller than the sum of its proper divisors (228075960).

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

88413120 is an equidigital number, since it uses as much as digits as its factorization.

88413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 88413120 is about 9402.8251073813. The cubic root of 88413120 is about 445.4909701261.

The spelling of 88413120 in words is "eighty-eight million, four hundred thirteen thousand, one hundred twenty".