1961193600 has 192 divisors, whose sum is σ = 7177740000. Its totient is φ = 522961920.

The previous prime is 1961193599. The next prime is 1961193613. The reversal of 1961193600 is 63911691.

1961193600 is a `hidden beast` number, since 1 + 9 + 611 + 9 + 36 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75051 + ... + 97749.

Almost surely, 2^1961193600 is an apocalyptic number.

1961193600 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 1961193600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588870000).

1961193600 is an abundant number, since it is smaller than the sum of its proper divisors (5216546400).

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

1961193600 is a wasteful number, since it uses less digits than its factorization.

1961193600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22732 (or 22709 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 1961193600 is about 44285.3655285807. The cubic root of 1961193600 is about 1251.7189364558.

The spelling of 1961193600 in words is "one billion, nine hundred sixty-one million, one hundred ninety-three thousand, six hundred".