1610400064 has 112 divisors (see below), whose sum is σ = 3969520128. Its totient is φ = 631185408.

The previous prime is 1610400049. The next prime is 1610400107. The reversal of 1610400064 is 4600040161.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1610400064² = 5186776732262408192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 656889 + ... + 659335.

It is an arithmetic number, because the mean of its divisors is an integer number (35442144).

Almost surely, 2^1610400064 is an apocalyptic number.

1610400064 is a gapful number since it is divisible by the number (14) 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 1610400064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984760064).

1610400064 is an abundant number, since it is smaller than the sum of its proper divisors (2359120064).

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

1610400064 is a wasteful number, since it uses less digits than its factorization.

1610400064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1610400064 is about 40129.7902311986. The cubic root of 1610400064 is about 1172.1357886055.

The spelling of 1610400064 in words is "one billion, six hundred ten million, four hundred thousand, sixty-four".