1949547964 has 96 divisors (see below), whose sum is σ = 4589899776. Its totient is φ = 702397440.

The previous prime is 1949547911. The next prime is 1949547979. The reversal of 1949547964 is 4697459491.

1949547964 = T₁₇₃₁₂ + T₁₇₃₁₃ + ... + T₁₇₃₂₄.

It is a junction number, because it is equal to n+sod(n) for n = 1949547899 and 1949547908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186747 + ... + 196909.

It is an arithmetic number, because the mean of its divisors is an integer number (47811456).

Almost surely, 2^1949547964 is an apocalyptic number.

1949547964 is a gapful number since it is divisible by the number (14) 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 1949547964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294949888).

1949547964 is an abundant number, since it is smaller than the sum of its proper divisors (2640351812).

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

1949547964 is a wasteful number, since it uses less digits than its factorization.

1949547964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10235 (or 10233 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 58.

The square root of 1949547964 is about 44153.6857351682. The cubic root of 1949547964 is about 1249.2364326536.

The spelling of 1949547964 in words is "one billion, nine hundred forty-nine million, five hundred forty-seven thousand, nine hundred sixty-four".