88415640 has 96 divisors (see below), whose sum is σ = 304274880. Its totient is φ = 22189056.

The previous prime is 88415599. The next prime is 88415641. The reversal of 88415640 is 4651488.

88415640 is a `hidden beast` number, since 8 + 8 + 4 + 1 + 5 + 640 = 666.

It is a super-4 number, since 4×88415640⁴ (a number of 33 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 88415595 and 88415604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88415641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1104 + ... + 13343.

It is an arithmetic number, because the mean of its divisors is an integer number (3169530).

Almost surely, 2^88415640 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 88415640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152137440).

88415640 is an abundant number, since it is smaller than the sum of its proper divisors (215859240).

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

88415640 is a wasteful number, since it uses less digits than its factorization.

88415640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14481 (or 14474 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 88415640 is about 9402.9591087062. The cubic root of 88415640 is about 445.4952026298.

The spelling of 88415640 in words is "eighty-eight million, four hundred fifteen thousand, six hundred forty".