1077951640 has 64 divisors (see below), whose sum is σ = 2572184160. Its totient is φ = 405166080.

The previous prime is 1077951629. The next prime is 1077951647. The reversal of 1077951640 is 461597701.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1077951593 and 1077951602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077951647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 741154 + ... + 742606.

Almost surely, 2^1077951640 is an apocalyptic number.

1077951640 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 1077951640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286092080).

1077951640 is an abundant number, since it is smaller than the sum of its proper divisors (1494232520).

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

1077951640 is a wasteful number, since it uses less digits than its factorization.

1077951640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 40.

The square root of 1077951640 is about 32832.1738543155. The cubic root of 1077951640 is about 1025.3365192886.

The spelling of 1077951640 in words is "one billion, seventy-seven million, nine hundred fifty-one thousand, six hundred forty".