907349040 has 200 divisors, whose sum is σ = 3394084848. Its totient is φ = 223326720.

The previous prime is 907349033. The next prime is 907349081. The reversal of 907349040 is 40943709.

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 = 907348986 and 907349004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 78855 + ... + 89625.

Almost surely, 2^907349040 is an apocalyptic number.

907349040 is a gapful number since it is divisible by the number (90) 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 907349040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697042424).

907349040 is an abundant number, since it is smaller than the sum of its proper divisors (2486735808).

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

907349040 is a wasteful number, since it uses less digits than its factorization.

907349040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10809 (or 10794 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 907349040 is about 30122.2349768406. The cubic root of 907349040 is about 968.1101973674.

The spelling of 907349040 in words is "nine hundred seven million, three hundred forty-nine thousand, forty".