61864500 has 48 divisors (see below), whose sum is σ = 180153792. Its totient is φ = 16496800.

The previous prime is 61864493. The next prime is 61864519. The reversal of 61864500 is 546816.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19122 + ... + 22121.

It is an arithmetic number, because the mean of its divisors is an integer number (3753204).

Almost surely, 2^61864500 is an apocalyptic number.

61864500 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61864500 is an abundant number, since it is smaller than the sum of its proper divisors (118289292).

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

61864500 is a wasteful number, since it uses less digits than its factorization.

61864500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41265 (or 41253 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 61864500 is about 7865.3989091463. The cubic root of 61864500 is about 395.5006203897.

The spelling of 61864500 in words is "sixty-one million, eight hundred sixty-four thousand, five hundred".