88263504 has 120 divisors (see below), whose sum is σ = 288225600. Its totient is φ = 25204032.

The previous prime is 88263451. The next prime is 88263533. The reversal of 88263504 is 40536288.

It is a super-2 number, since 2×88263504² = 15580892276716032, 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48499 + ... + 50285.

It is an arithmetic number, because the mean of its divisors is an integer number (2401880).

Almost surely, 2^88263504 is an apocalyptic number.

88263504 is a gapful number since it is divisible by the number (84) 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 88263504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144112800).

88263504 is an abundant number, since it is smaller than the sum of its proper divisors (199962096).

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

88263504 is a wasteful number, since it uses less digits than its factorization.

88263504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 88263504 is about 9394.8658319318. The cubic root of 88263504 is about 445.2395360641.

The spelling of 88263504 in words is "eighty-eight million, two hundred sixty-three thousand, five hundred four".