1905245664 has 96 divisors (see below), whose sum is σ = 5964295680. Its totient is φ = 520684032.

The previous prime is 1905245663. The next prime is 1905245681. The reversal of 1905245664 is 4665425091.

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

It is a super-2 number, since 2×1905245664² = 7259922080381601792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1905245663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46179 + ... + 77090.

It is an arithmetic number, because the mean of its divisors is an integer number (62128080).

Almost surely, 2^1905245664 is an apocalyptic number.

1905245664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1905245664 is an abundant number, since it is smaller than the sum of its proper divisors (4059050016).

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

1905245664 is a wasteful number, since it uses less digits than its factorization.

1905245664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123312 (or 123304 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 1905245664 is about 43649.1198536694. The cubic root of 1905245664 is about 1239.7011211682.

The spelling of 1905245664 in words is "one billion, nine hundred five million, two hundred forty-five thousand, six hundred sixty-four".