1916006400 has 936 divisors, whose sum is σ = 8873015424. Its totient is φ = 398131200.

The previous prime is 1916006387. The next prime is 1916006459. The reversal of 1916006400 is 46006191.

It is a Jordan-Polya number, since it can be written as 12! ⋅ (2!)².

1916006400 is a `hidden beast` number, since 1 + 9 + 16 + 0 + 0 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 174182395 + ... + 174182405.

Almost surely, 2^1916006400 is an apocalyptic number.

1916006400 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 1916006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4436507712).

1916006400 is an abundant number, since it is smaller than the sum of its proper divisors (6957009024).

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

1916006400 is an equidigital number, since it uses as much as digits as its factorization.

1916006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1916006400 is about 43772.2103622835. The cubic root of 1916006400 is about 1242.0306650694.

The spelling of 1916006400 in words is "one billion, nine hundred sixteen million, six thousand, four hundred".