1961496000 has 336 divisors, whose sum is σ = 7283683680. Its totient is φ = 522547200.

The previous prime is 1961495999. The next prime is 1961496011. The reversal of 1961496000 is 6941691.

1961496000 is a `hidden beast` number, since 1 + 9 + 6 + 1 + 49 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1943496 + ... + 1944504.

It is an arithmetic number, because the mean of its divisors is an integer number (21677630).

Almost surely, 2^1961496000 is an apocalyptic number.

1961496000 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 1961496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3641841840).

1961496000 is an abundant number, since it is smaller than the sum of its proper divisors (5322187680).

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

1961496000 is an equidigital number, since it uses as much as digits as its factorization.

1961496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1961496000 is about 44288.7796174155. The cubic root of 1961496000 is about 1251.7832680875.

The spelling of 1961496000 in words is "one billion, nine hundred sixty-one million, four hundred ninety-six thousand".