1077960 has 64 divisors (see below), whose sum is σ = 3487680. Its totient is φ = 264960.

The previous prime is 1077943. The next prime is 1077971. The reversal of 1077960 is 697701.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1215 + ... + 1905.

It is an arithmetic number, because the mean of its divisors is an integer number (54495).

2^1077960 is an apocalyptic number.

1077960 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 1077960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743840).

1077960 is an abundant number, since it is smaller than the sum of its proper divisors (2409720).

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

1077960 is a wasteful number, since it uses less digits than its factorization.

1077960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 1077960 is about 1038.2485251615. The cubic root of 1077960 is about 102.5339169930.

The spelling of 1077960 in words is "one million, seventy-seven thousand, nine hundred sixty".