88129734 has 128 divisors (see below), whose sum is σ = 238464000. Its totient is φ = 21450240.

The previous prime is 88129729. The next prime is 88129739. The reversal of 88129734 is 43792188.

It is an interprime number because it is at equal distance from previous prime (88129729) and next prime (88129739).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88129739) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 384732 + ... + 384960.

It is an arithmetic number, because the mean of its divisors is an integer number (1863000).

Almost surely, 2^88129734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88129734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119232000).

88129734 is an abundant number, since it is smaller than the sum of its proper divisors (150334266).

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

88129734 is a wasteful number, since it uses less digits than its factorization.

88129734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 269 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 88129734 is about 9387.7438184049. The cubic root of 88129734 is about 445.0144909644.

The spelling of 88129734 in words is "eighty-eight million, one hundred twenty-nine thousand, seven hundred thirty-four".