61092000 has 144 divisors (see below), whose sum is σ = 216943272. Its totient is φ = 16281600.

The previous prime is 61091977. The next prime is 61092037. The reversal of 61092000 is 29016.

It can be written as a sum of positive squares in 4 ways, for example, as 35569296 + 25522704 = 5964^2 + 5052^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35152 + ... + 36848.

Almost surely, 2^61092000 is an apocalyptic number.

61092000 is a gapful number since it is divisible by the number (60) 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 61092000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108471636).

61092000 is an abundant number, since it is smaller than the sum of its proper divisors (155851272).

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

61092000 is a wasteful number, since it uses less digits than its factorization.

61092000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 61092000 is about 7816.1371533514. The cubic root of 61092000 is about 393.8475193074.

The spelling of 61092000 in words is "sixty-one million, ninety-two thousand".