88416144 has 40 divisors (see below), whose sum is σ = 253788320. Its totient is φ = 29471904.

The previous prime is 88416121. The next prime is 88416151. The reversal of 88416144 is 44161488.

It is a super-4 number, since 4×88416144⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 88416099 and 88416108.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101902 + ... + 102765.

It is an arithmetic number, because the mean of its divisors is an integer number (6344708).

Almost surely, 2^88416144 is an apocalyptic number.

It is an amenable number.

88416144 is an abundant number, since it is smaller than the sum of its proper divisors (165372176).

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

88416144 is a wasteful number, since it uses less digits than its factorization.

88416144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204684 (or 204672 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 88416144 is about 9402.9859087420. The cubic root of 88416144 is about 445.4960491209.

The spelling of 88416144 in words is "eighty-eight million, four hundred sixteen thousand, one hundred forty-four".