612698400 has 216 divisors, whose sum is σ = 2211889680. Its totient is φ = 159505920.

The previous prime is 612698381. The next prime is 612698441. The reversal of 612698400 is 4896216.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 308611 + ... + 310589.

It is an arithmetic number, because the mean of its divisors is an integer number (10240230).

Almost surely, 2^612698400 is an apocalyptic number.

612698400 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 612698400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105944840).

612698400 is an abundant number, since it is smaller than the sum of its proper divisors (1599191280).

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

612698400 is a wasteful number, since it uses less digits than its factorization.

612698400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 612698400 is about 24752.7453022892. The cubic root of 612698400 is about 849.3413120728.

The spelling of 612698400 in words is "six hundred twelve million, six hundred ninety-eight thousand, four hundred".