261354000 has 160 divisors (see below), whose sum is σ = 863051904. Its totient is φ = 68006400.

The previous prime is 261353921. The next prime is 261354017. The reversal of 261354000 is 453162.

It is a happy number.

261354000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257494 + ... + 258506.

Almost surely, 2^261354000 is an apocalyptic number.

261354000 is a gapful number since it is divisible by the number (20) 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 261354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431525952).

261354000 is an abundant number, since it is smaller than the sum of its proper divisors (601697904).

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

261354000 is a wasteful number, since it uses less digits than its factorization.

261354000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 261354000 is about 16166.4467338992. The cubic root of 261354000 is about 639.3564494503.

It can be divided in two parts, 26135 and 4000, that added together give a triangular number (30135 = T₂₄₅).

The spelling of 261354000 in words is "two hundred sixty-one million, three hundred fifty-four thousand".