261633372 has 192 divisors, whose sum is σ = 856203264. Its totient is φ = 59938560.

The previous prime is 261633353. The next prime is 261633373. The reversal of 261633372 is 273336162.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (27216) is a multiple of the sum of its prime factors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261633373) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 275803 + ... + 276749.

It is an arithmetic number, because the mean of its divisors is an integer number (4459392).

Almost surely, 2^261633372 is an apocalyptic number.

261633372 is a gapful number since it is divisible by the number (22) 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 261633372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428101632).

261633372 is an abundant number, since it is smaller than the sum of its proper divisors (594569892).

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

261633372 is a wasteful number, since it uses less digits than its factorization.

261633372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 1006 counting only the distinct ones).

The product of its digits is 27216, while the sum is 33.

The square root of 261633372 is about 16175.0849147694. The cubic root of 261633372 is about 639.5841797619.

The spelling of 261633372 in words is "two hundred sixty-one million, six hundred thirty-three thousand, three hundred seventy-two".