1900292064 has 96 divisors (see below), whose sum is σ = 5617382400. Its totient is φ = 557260800.

The previous prime is 1900292063. The next prime is 1900292101. The reversal of 1900292064 is 4602920091.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1900292064² = 7222219857002760192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1900292063) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3712 + ... + 61760.

It is an arithmetic number, because the mean of its divisors is an integer number (58514400).

Almost surely, 2^1900292064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1900292064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808691200).

1900292064 is an abundant number, since it is smaller than the sum of its proper divisors (3717090336).

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

1900292064 is a wasteful number, since it uses less digits than its factorization.

1900292064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58104 (or 58096 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 1900292064 is about 43592.3395105149. The cubic root of 1900292064 is about 1238.6257894432.

The spelling of 1900292064 in words is "one billion, nine hundred million, two hundred ninety-two thousand, sixty-four".