89602240 has 224 divisors, whose sum is σ = 279586944. Its totient is φ = 26542080.

The previous prime is 89602237. The next prime is 89602243. The reversal of 89602240 is 4220698.

It is an interprime number because it is at equal distance from previous prime (89602237) and next prime (89602243).

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

It is a super-2 number, since 2×89602240² = 16057122826035200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (89602243) 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, 494950 + ... + 495130.

It is an arithmetic number, because the mean of its divisors is an integer number (1248156).

Almost surely, 2^89602240 is an apocalyptic number.

89602240 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 89602240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139793472).

89602240 is an abundant number, since it is smaller than the sum of its proper divisors (189984704).

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

89602240 is a wasteful number, since it uses less digits than its factorization.

89602240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 89602240 is about 9465.8459738155. The cubic root of 89602240 is about 447.4793057646.

It can be divided in two parts, 8960 and 2240, that multiplied together give a square (20070400 = 4480²).

The spelling of 89602240 in words is "eighty-nine million, six hundred two thousand, two hundred forty".