1677977952 has 192 divisors, whose sum is σ = 5189184000. Its totient is φ = 474539520.

The previous prime is 1677977923. The next prime is 1677977957. The reversal of 1677977952 is 2597797761.

It is a super-2 number, since 2×1677977952² = 5631220014796228608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1677977957) 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, 4313374 + ... + 4313762.

It is an arithmetic number, because the mean of its divisors is an integer number (27027000).

Almost surely, 2^1677977952 is an apocalyptic number.

1677977952 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 1677977952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594592000).

1677977952 is an abundant number, since it is smaller than the sum of its proper divisors (3511206048).

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

1677977952 is a wasteful number, since it uses less digits than its factorization.

1677977952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 532 counting only the distinct ones).

The product of its digits is 11668860, while the sum is 60.

The square root of 1677977952 is about 40963.1291773468. The cubic root of 1677977952 is about 1188.3072587786.

The spelling of 1677977952 in words is "one billion, six hundred seventy-seven million, nine hundred seventy-seven thousand, nine hundred fifty-two".