1011677040 has 560 divisors, whose sum is σ = 4098487680. Its totient is φ = 229547520.

The previous prime is 1011677027. The next prime is 1011677041. The reversal of 1011677040 is 407761101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1011676995 and 1011677013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011677041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 12188839 + ... + 12188921.

It is an arithmetic number, because the mean of its divisors is an integer number (7318728).

Almost surely, 2^1011677040 is an apocalyptic number.

1011677040 is a gapful number since it is divisible by the number (10) 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 1011677040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049243840).

1011677040 is an abundant number, since it is smaller than the sum of its proper divisors (3086810640).

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

1011677040 is a wasteful number, since it uses less digits than its factorization.

1011677040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 1011677040 is about 31806.8709558171. The cubic root of 1011677040 is about 1003.8772938296.

The spelling of 1011677040 in words is "one billion, eleven million, six hundred seventy-seven thousand, forty".