1920762690 has 128 divisors (see below), whose sum is σ = 5774008320. Its totient is φ = 397267200.

The previous prime is 1920762689. The next prime is 1920762721. The reversal of 1920762690 is 962670291.

It is a super-4 number, since 4×1920762690⁴ (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

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, 527175 + ... + 530805.

It is an arithmetic number, because the mean of its divisors is an integer number (45109440).

Almost surely, 2^1920762690 is an apocalyptic number.

1920762690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1920762690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887004160).

1920762690 is an abundant number, since it is smaller than the sum of its proper divisors (3853245630).

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

1920762690 is a wasteful number, since it uses less digits than its factorization.

1920762690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3888.

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 1920762690 is about 43826.5067054174. The cubic root of 1920762690 is about 1243.0575538700.

The spelling of 1920762690 in words is "one billion, nine hundred twenty million, seven hundred sixty-two thousand, six hundred ninety".