189648690 has 256 divisors, whose sum is σ = 622080000. Its totient is φ = 35804160.

The previous prime is 189648673. The next prime is 189648703. The reversal of 189648690 is 96846981.

189648690 = T₁ + T₂ + ... + T₁₀₄₃.

It is a happy number.

189648690 is a nontrivial binomial coefficient, being equal to C(1045, 3).

It is a super-2 number, since 2×189648690² = 71933251237432200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is the 1043-rd tetrahedral number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1272736 + ... + 1272884.

It is an arithmetic number, because the mean of its divisors is an integer number (2430000).

Almost surely, 2^189648690 is an apocalyptic number.

189648690 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 189648690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311040000).

189648690 is an abundant number, since it is smaller than the sum of its proper divisors (432431310).

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

189648690 is a wasteful number, since it uses less digits than its factorization.

189648690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225.

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 189648690 is about 13771.2995029518. The cubic root of 189648690 is about 574.5351655984.

The spelling of 189648690 in words is "one hundred eighty-nine million, six hundred forty-eight thousand, six hundred ninety".