189954240 has 224 divisors, whose sum is σ = 719815680. Its totient is φ = 41496576.

The previous prime is 189954221. The next prime is 189954241. The reversal of 189954240 is 42459981.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×189954240² = 72165226587955200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 189954192 and 189954201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189954241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153946 + ... + 155174.

Almost surely, 2^189954240 is an apocalyptic number.

189954240 is a gapful number since it is divisible by the number (10) 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 189954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359907840).

189954240 is an abundant number, since it is smaller than the sum of its proper divisors (529861440).

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

189954240 is a wasteful number, since it uses less digits than its factorization.

189954240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 189954240 is about 13782.3887624751. The cubic root of 189954240 is about 574.8435516396.

The spelling of 189954240 in words is "one hundred eighty-nine million, nine hundred fifty-four thousand, two hundred forty".