61623300 has 144 divisors (see below), whose sum is σ = 193862592. Its totient is φ = 15052800.

The previous prime is 61623229. The next prime is 61623311. The reversal of 61623300 is 332616.

It is a super-2 number, since 2×61623300² = 7594862205780000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219160 + ... + 219440.

It is an arithmetic number, because the mean of its divisors is an integer number (1346268).

Almost surely, 2^61623300 is an apocalyptic number.

61623300 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 61623300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96931296).

61623300 is an abundant number, since it is smaller than the sum of its proper divisors (132239292).

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

61623300 is a wasteful number, since it uses less digits than its factorization.

61623300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 61623300 is about 7850.0509552486. The cubic root of 61623300 is about 394.9859526062.

Adding to 61623300 its reverse (332616), we get a palindrome (61955916).

The spelling of 61623300 in words is "sixty-one million, six hundred twenty-three thousand, three hundred".