61399296 has 252 divisors, whose sum is σ = 214472832. Its totient is φ = 17169408.

The previous prime is 61399277. The next prime is 61399301. The reversal of 61399296 is 69299316.

61399296 = T₅₉ + T₆₀ + ... + T₇₁₆.

It is a happy number.

61399296 is a `hidden beast` number, since 613 + 9 + 9 + 29 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1306345 + ... + 1306391.

Almost surely, 2^61399296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61399296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107236416).

61399296 is an abundant number, since it is smaller than the sum of its proper divisors (153073536).

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

61399296 is an frugal number, since it uses more digits than its factorization.

61399296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 59 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 61399296 is about 7835.7702875978. The cubic root of 61399296 is about 394.5067731492.

The spelling of 61399296 in words is "sixty-one million, three hundred ninety-nine thousand, two hundred ninety-six".