88129440 has 216 divisors, whose sum is σ = 350122500. Its totient is φ = 20127744.

The previous prime is 88129439. The next prime is 88129451. The reversal of 88129440 is 4492188.

It can be written as a sum of positive squares in 2 ways, for example, as 86936976 + 1192464 = 9324^2 + 1092^2 .

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 = 88129395 and 88129404.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69936 + ... + 71184.

Almost surely, 2^88129440 is an apocalyptic number.

88129440 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 88129440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175061250).

88129440 is an abundant number, since it is smaller than the sum of its proper divisors (261993060).

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

88129440 is a wasteful number, since it uses less digits than its factorization.

88129440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 88129440 is about 9387.7281596774. The cubic root of 88129440 is about 445.0139961090.

The spelling of 88129440 in words is "eighty-eight million, one hundred twenty-nine thousand, four hundred forty".