1009685376 has 288 divisors, whose sum is σ = 3494911680. Its totient is φ = 278691840.

The previous prime is 1009685357. The next prime is 1009685387. The reversal of 1009685376 is 6735869001.

It is a happy number.

1009685376 is a `hidden beast` number, since 100 + 9 + 6 + 8 + 537 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1009685376² = 2038929117016522752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1749600 + ... + 1750176.

It is an arithmetic number, because the mean of its divisors is an integer number (12135110).

Almost surely, 2^1009685376 is an apocalyptic number.

1009685376 is a gapful number since it is divisible by the number (16) 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 1009685376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747455840).

1009685376 is an abundant number, since it is smaller than the sum of its proper divisors (2485226304).

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

1009685376 is a wasteful number, since it uses less digits than its factorization.

1009685376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1009685376 is about 31775.5468245631. The cubic root of 1009685376 is about 1003.2180914451.

The spelling of 1009685376 in words is "one billion, nine million, six hundred eighty-five thousand, three hundred seventy-six".