1890012096 has 448 divisors, whose sum is σ = 6745589760. Its totient is φ = 507617280.

The previous prime is 1890012053. The next prime is 1890012101. The reversal of 1890012096 is 6902100981.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1890012096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18349581 + ... + 18349683.

It is an arithmetic number, because the mean of its divisors is an integer number (15057120).

Almost surely, 2^1890012096 is an apocalyptic number.

1890012096 is a gapful number since it is divisible by the number (16) 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 1890012096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372794880).

1890012096 is an abundant number, since it is smaller than the sum of its proper divisors (4855577664).

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

1890012096 is a wasteful number, since it uses less digits than its factorization.

1890012096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 1890012096 is about 43474.2693555625. The cubic root of 1890012096 is about 1236.3882275595.

It can be divided in two parts, 18900 and 12096, that multiplied together give a square (228614400 = 15120²).

The spelling of 1890012096 in words is "one billion, eight hundred ninety million, twelve thousand, ninety-six".