8672040 has 192 divisors, whose sum is σ = 32432400. Its totient is φ = 1990656.

The previous prime is 8672003. The next prime is 8672047. The reversal of 8672040 is 402768.

8672040 = T₁₀₄ + T₁₀₅ + ... + T₃₇₅.

It can be written as a sum of positive squares in 8 ways, for example, as 4186116 + 4485924 = 2046^2 + 2118^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8671995 and 8672013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8672047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79506 + ... + 79614.

Almost surely, 2^8672040 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 8672040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16216200).

8672040 is an abundant number, since it is smaller than the sum of its proper divisors (23760360).

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

8672040 is a wasteful number, since it uses less digits than its factorization.

8672040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 8672040 is about 2944.8327626539. The cubic root of 8672040 is about 205.4504471425.

The spelling of 8672040 in words is "eight million, six hundred seventy-two thousand, forty".