1900674720 has 720 divisors, whose sum is σ = 8102761128. Its totient is φ = 418037760.

The previous prime is 1900674701. The next prime is 1900674739. The reversal of 1900674720 is 274760091.

It is a happy number.

1900674720 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1900674701) and next prime (1900674739).

It can be written as a sum of positive squares in 4 ways, for example, as 1089792144 + 810882576 = 33012^2 + 28476^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1900674720² = 7225128782494156800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26036604 + ... + 26036676.

Almost surely, 2^1900674720 is an apocalyptic number.

1900674720 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 1900674720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4051380564).

1900674720 is an abundant number, since it is smaller than the sum of its proper divisors (6202086408).

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

1900674720 is a wasteful number, since it uses less digits than its factorization.

1900674720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 1900674720 is about 43596.7283176158. The cubic root of 1900674720 is about 1238.7089232921.

The spelling of 1900674720 in words is "one billion, nine hundred million, six hundred seventy-four thousand, seven hundred twenty".