89378640 has 200 divisors, whose sum is σ = 334619208. Its totient is φ = 21980160.

The previous prime is 89378629. The next prime is 89378651. The reversal of 89378640 is 4687398.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (89378629) and next prime (89378651).

It can be written as a sum of positive squares in 4 ways, for example, as 3779136 + 85599504 = 1944^2 + 9252^2 .

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 83710 + ... + 84770.

Almost surely, 2^89378640 is an apocalyptic number.

89378640 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 89378640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167309604).

89378640 is an abundant number, since it is smaller than the sum of its proper divisors (245240568).

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

89378640 is a wasteful number, since it uses less digits than its factorization.

89378640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 89378640 is about 9454.0277130967. The cubic root of 89378640 is about 447.1067714854.

The spelling of 89378640 in words is "eighty-nine million, three hundred seventy-eight thousand, six hundred forty".