88485120 has 108 divisors (see below), whose sum is σ = 306189156. Its totient is φ = 23592960.

The previous prime is 88485101. The next prime is 88485139. The reversal of 88485120 is 2158488.

It is an interprime number because it is at equal distance from previous prime (88485101) and next prime (88485139).

It can be written as a sum of positive squares in 2 ways, for example, as 47114496 + 41370624 = 6864^2 + 6432^2 .

It is a super-2 number, since 2×88485120² = 15659232922828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7680 + ... + 15360.

Almost surely, 2^88485120 is an apocalyptic number.

88485120 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 88485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153094578).

88485120 is an abundant number, since it is smaller than the sum of its proper divisors (217704036).

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

88485120 is a wasteful number, since it uses less digits than its factorization.

88485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7708 (or 7691 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 88485120 is about 9406.6529647904. The cubic root of 88485120 is about 445.6118671410.

The spelling of 88485120 in words is "eighty-eight million, four hundred eighty-five thousand, one hundred twenty".