61308900 has 189 divisors, whose sum is σ = 206584651. Its totient is φ = 15785280.

The previous prime is 61308893. The next prime is 61308911. The reversal of 61308900 is 980316.

The square root of 61308900 is 7830.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 842724 + 60466176 = 918^2 + 7776^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2114086 + ... + 2114114.

Almost surely, 2^61308900 is an apocalyptic number.

61308900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

61308900 is the 7830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61308900

61308900 is an abundant number, since it is smaller than the sum of its proper divisors (145275751).

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

61308900 is a wasteful number, since it uses less digits than its factorization.

61308900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The cubic root of 61308900 is about 394.3130719608.

Multiplying 61308900 by its product of nonzero digits (1296), we get a square (79456334400 = 281880²).

The spelling of 61308900 in words is "sixty-one million, three hundred eight thousand, nine hundred".