88100460 has 240 divisors, whose sum is σ = 335168064. Its totient is φ = 18911232.

The previous prime is 88100429. The next prime is 88100461. The reversal of 88100460 is 6400188.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (88100461) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 192552 + ... + 193008.

Almost surely, 2^88100460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88100460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167584032).

88100460 is an abundant number, since it is smaller than the sum of its proper divisors (247067604).

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

88100460 is a wasteful number, since it uses less digits than its factorization.

88100460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 88100460 is about 9386.1845283374. The cubic root of 88100460 is about 444.9652121103.

The spelling of 88100460 in words is "eighty-eight million, one hundred thousand, four hundred sixty".