88751040 has 224 divisors, whose sum is σ = 330061824. Its totient is φ = 19783680.

The previous prime is 88751017. The next prime is 88751041. The reversal of 88751040 is 4015788.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 88750992 and 88751010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88751041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315700 + ... + 315980.

Almost surely, 2^88751040 is an apocalyptic number.

88751040 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 88751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165030912).

88751040 is an abundant number, since it is smaller than the sum of its proper divisors (241310784).

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

88751040 is a wasteful number, since it uses less digits than its factorization.

88751040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 88751040 is about 9420.7770380155. Note that the first 3 decimals coincide. The cubic root of 88751040 is about 446.0578125571.

The spelling of 88751040 in words is "eighty-eight million, seven hundred fifty-one thousand, forty".