61296900 has 216 divisors, whose sum is σ = 217444416. Its totient is φ = 13056000.

The previous prime is 61296899. The next prime is 61296943. The reversal of 61296900 is 969216.

It is a happy number.

It is a super-2 number, since 2×61296900² = 7514619899220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 606850 + ... + 606950.

Almost surely, 2^61296900 is an apocalyptic number.

61296900 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 61296900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108722208).

61296900 is an abundant number, since it is smaller than the sum of its proper divisors (156147516).

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

61296900 is a wasteful number, since it uses less digits than its factorization.

61296900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 61296900 is about 7829.2336789752. The cubic root of 61296900 is about 394.2873439636.

The spelling of 61296900 in words is "sixty-one million, two hundred ninety-six thousand, nine hundred".