1078267905 has 72 divisors (see below), whose sum is σ = 2212525224. Its totient is φ = 482549760.

The previous prime is 1078267901. The next prime is 1078267907. The reversal of 1078267905 is 5097628701.

It can be written as a sum of positive squares in 4 ways, for example, as 4460544 + 1073807361 = 2112^2 + 32769^2 .

It is not a de Polignac number, because 1078267905 - 2² = 1078267901 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1078267901) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63169 + ... + 78401.

It is an arithmetic number, because the mean of its divisors is an integer number (30729517).

Almost surely, 2^1078267905 is an apocalyptic number.

1078267905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1078267905 is an abundant number, since it is smaller than the sum of its proper divisors (1134257319).

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

1078267905 is a wasteful number, since it uses less digits than its factorization.

1078267905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15279 (or 15265 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 1078267905 is about 32836.9898894524. The cubic root of 1078267905 is about 1025.4367854891.

It can be divided in two parts, 10782 and 67905, that added together give a palindrome (78687).

The spelling of 1078267905 in words is "one billion, seventy-eight million, two hundred sixty-seven thousand, nine hundred five".