61462800 has 300 divisors, whose sum is σ = 253027456. Its totient is φ = 13996800.

The previous prime is 61462763. The next prime is 61462859. The reversal of 61462800 is 826416.

It is a tau number, because it is divible by the number of its divisors (300).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 226665 + ... + 226935.

Almost surely, 2^61462800 is an apocalyptic number.

61462800 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 61462800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126513728).

61462800 is an abundant number, since it is smaller than the sum of its proper divisors (191564656).

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

61462800 is a wasteful number, since it uses less digits than its factorization.

61462800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 61462800 is about 7839.8214265377. The cubic root of 61462800 is about 394.6427363037.

The spelling of 61462800 in words is "sixty-one million, four hundred sixty-two thousand, eight hundred".