61199280 has 160 divisors (see below), whose sum is σ = 218289600. Its totient is φ = 15740928.

The previous prime is 61199273. The next prime is 61199377. The reversal of 61199280 is 8299116.

It is a super-3 number, since 3×61199280³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62152 + ... + 63128.

It is an arithmetic number, because the mean of its divisors is an integer number (1364310).

Almost surely, 2^61199280 is an apocalyptic number.

61199280 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 61199280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109144800).

61199280 is an abundant number, since it is smaller than the sum of its proper divisors (157090320).

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

61199280 is a wasteful number, since it uses less digits than its factorization.

61199280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 61199280 is about 7822.9968682085. The cubic root of 61199280 is about 394.0779218365.

The spelling of 61199280 in words is "sixty-one million, one hundred ninety-nine thousand, two hundred eighty".