88415040 has 224 divisors, whose sum is σ = 327720960. Its totient is φ = 19777536.

The previous prime is 88415017. The next prime is 88415051. The reversal of 88415040 is 4051488.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 88414989 and 88415007.

It is a congruent number.

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, 396369 + ... + 396591.

It is an arithmetic number, because the mean of its divisors is an integer number (1463040).

Almost surely, 2^88415040 is an apocalyptic number.

88415040 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 88415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163860480).

88415040 is an abundant number, since it is smaller than the sum of its proper divisors (239305920).

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

88415040 is a wasteful number, since it uses less digits than its factorization.

88415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 88415040 is about 9402.9272038020. The cubic root of 88415040 is about 445.4941948982.

The spelling of 88415040 in words is "eighty-eight million, four hundred fifteen thousand, forty".