89670240 has 480 divisors, whose sum is σ = 375417504. Its totient is φ = 19906560.

The previous prime is 89670227. The next prime is 89670241. The reversal of 89670240 is 4207698.

89670240 = T₁₁₀ + T₁₁₁ + ... + T₈₁₃.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 89670195 and 89670204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89670241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2423502 + ... + 2423538.

Almost surely, 2^89670240 is an apocalyptic number.

89670240 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 89670240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187708752).

89670240 is an abundant number, since it is smaller than the sum of its proper divisors (285747264).

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

89670240 is a wasteful number, since it uses less digits than its factorization.

89670240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 89670240 is about 9469.4371532842. The cubic root of 89670240 is about 447.5924759209.

The spelling of 89670240 in words is "eighty-nine million, six hundred seventy thousand, two hundred forty".