1077608952 has 96 divisors (see below), whose sum is σ = 3350505600. Its totient is φ = 306499392.

The previous prime is 1077608947. The next prime is 1077608957. The reversal of 1077608952 is 2598067701.

It is an interprime number because it is at equal distance from previous prime (1077608947) and next prime (1077608957).

It is a super-2 number, since 2×1077608952² = 2322482106861076608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1077608898 and 1077608907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077608957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109699 + ... + 119117.

It is an arithmetic number, because the mean of its divisors is an integer number (34901100).

Almost surely, 2^1077608952 is an apocalyptic number.

1077608952 is a gapful number since it is divisible by the number (12) 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 1077608952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675252800).

1077608952 is an abundant number, since it is smaller than the sum of its proper divisors (2272896648).

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

1077608952 is a wasteful number, since it uses less digits than its factorization.

1077608952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9665 (or 9658 counting only the distinct ones).

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

The square root of 1077608952 is about 32826.9546561968. The cubic root of 1077608952 is about 1025.2278540050.

The spelling of 1077608952 in words is "one billion, seventy-seven million, six hundred eight thousand, nine hundred fifty-two".