61429200 has 240 divisors, whose sum is σ = 230270976. Its totient is φ = 13708800.

The previous prime is 61429189. The next prime is 61429217. The reversal of 61429200 is 292416.

61429200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×61429200² = 7547093225280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 596349 + ... + 596451.

Almost surely, 2^61429200 is an apocalyptic number.

61429200 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 61429200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115135488).

61429200 is an abundant number, since it is smaller than the sum of its proper divisors (168841776).

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

61429200 is a wasteful number, since it uses less digits than its factorization.

61429200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 61429200 is about 7837.6782276386. The cubic root of 61429200 is about 394.5708097998.

The spelling of 61429200 in words is "sixty-one million, four hundred twenty-nine thousand, two hundred".