1026677540 has 96 divisors (see below), whose sum is σ = 2618246400. Its totient is φ = 330324480.

The previous prime is 1026677513. The next prime is 1026677543. The reversal of 1026677540 is 457766201.

It is a super-4 number, since 4×1026677540⁴ (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 1026677494 and 1026677503.

It is not an unprimeable number, because it can be changed into a prime (1026677543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288170 + ... + 291710.

It is an arithmetic number, because the mean of its divisors is an integer number (27273400).

Almost surely, 2^1026677540 is an apocalyptic number.

1026677540 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 1026677540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309123200).

1026677540 is an abundant number, since it is smaller than the sum of its proper divisors (1591568860).

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

1026677540 is a wasteful number, since it uses less digits than its factorization.

1026677540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3685 (or 3683 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 1026677540 is about 32041.8092497911. The cubic root of 1026677540 is about 1008.8145880814.

The spelling of 1026677540 in words is "one billion, twenty-six million, six hundred seventy-seven thousand, five hundred forty".