88693920 has 288 divisors, whose sum is σ = 361972800. Its totient is φ = 20224512.

The previous prime is 88693909. The next prime is 88693949. The reversal of 88693920 is 2939688.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×88693920² = 15733222889932800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 211471 + ... + 211889.

It is an arithmetic number, because the mean of its divisors is an integer number (1256850).

Almost surely, 2^88693920 is an apocalyptic number.

88693920 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 88693920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180986400).

88693920 is an abundant number, since it is smaller than the sum of its proper divisors (273278880).

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

88693920 is a wasteful number, since it uses less digits than its factorization.

88693920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 88693920 is about 9417.7449530129. The cubic root of 88693920 is about 445.9620980346.

The spelling of 88693920 in words is "eighty-eight million, six hundred ninety-three thousand, nine hundred twenty".